Calculus Forum

Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.

Threads

Finding Maclaurin series of a natural log function

  • tmt1
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Finding a maclaurin series for a function with 'e'

  • tmt1
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Find cos8A Using cos2A=sqrt(m)

  • NotaMathPerson
  • · Replies 7 ·
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7

Evaluating limit limit of multivariable function

  • tmt1
  • · Replies 3 ·
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3

Evaluating limit of 2 variable function

  • tmt1
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Finding the constant in the Maclaurin series for ln(x+1)

  • tmt1
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Undergrad Can x = t - sin(t) be expressed in terms of t?

  • AnotherParadox
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4

Proving d/dx[1/(1-x)] = 1/(1-x)²

  • tmt1
  • · Replies 1 ·
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1

Finding Maclaurin series of a function

  • tmt1
  • · Replies 1 ·
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1

Undergrad How to find and prove multivariable limits exist

  • mr.tea
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15

Integral of e^x/(e^(2x) + 1)

  • tmt1
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Eccentric anomaly as function of the eccentric and the mean anomaly

  • prankster1590
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4

Undergrad Contour integration over Riemann surface

  • Adel Makram
  • · Replies 10 ·
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10

Undergrad Fourier Transform for Solving Parameter Perturbation Problem

  • Cristiano
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7

Finding the interval of convergence for a series with lnn

  • tmt1
  • · Replies 1 ·
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Graduate Finding a function f(A,x) with controlled slope and limiting behavior

  • Jeffack
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3

What Happens to the Limit of $|x|^2$ as $n$ Approaches Infinity?

  • tmt1
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Undergrad Is the author integrating constants?

  • Peter Schles
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3

Volume of solid from revolving region between cos x and -cos x about y=2π

  • shunae95
  • · Replies 5 ·
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5

Why Does ∫ln(x) dx Include dx?

  • markosheehan
  • · Replies 1 ·
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1

Does the Series Converge at \( \sqrt{2} \) and \( -\sqrt{2} \)?

  • tmt1
  • · Replies 1 ·
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1

High School Definition of the limit of a sequence

  • member 587159
  • · Replies 30 ·
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30

Undergrad What is the difference between dx, Δx and δx?

  • Consolacion Ruiz
  • · Replies 5 ·
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5

S6.7.r.19 Rational Expression Integral (complete the square?)

  • karush
  • · Replies 3 ·
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3

Find Min Value of $(s-a)^3+(s-b)^3+(s-c)^3$ for $\triangle ABC$

  • Albert1
  • · Replies 2 ·
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2

Undergrad How is L'Hospital's Rule Applied to the Laplacian in Cylindrical Coordinates?

  • TheCanadian
  • · Replies 13 ·
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13

S6.7.1.13 natural log Integration

  • karush
  • · Replies 3 ·
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3

Ranges and Radius of convergence

  • tmt1
  • · Replies 1 ·
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1

High School I with a related rates question

  • MrDickinson
  • · Replies 7 ·
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7

Undergrad Vector Laplacian: different results in different coordinates

  • maajdl
  • · Replies 3 ·
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3

Does the series with increasing numerators converge?

  • karush
  • · Replies 4 ·
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4

Graduate What's the difference between dx and ∂x?

  • izabo
  • · Replies 6 ·
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6

High School What is the position equation in kinematics?

  • text
  • · Replies 9 ·
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9

Derivative of function with a natural log in the exponent

  • tmt1
  • · Replies 6 ·
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6

Calculating Areas of Circumscribed and Inscribed Rectangles in a Unit Circle

  • 4startimer
  • · Replies 4 ·
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4

High School How can a point have a measurable slope or tangent?

  • Burnerjack
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5

Understanding $\sin\left({\frac{1}{n^2}}\right)$ When $n > 1$

  • tmt1
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2

Undergrad What does the parameter a represent in a Taylor series?

  • abdo799
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12

Proving $5^n - 3^n \le 2^n$ as n approaches Infinity

  • tmt1
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3

Undergrad Green's theorem and Line Integrals

  • kent davidge
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1

Natural Log Inequality: True or Misunderstanding?

  • tmt1
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4

Why can't I apply L'Hopital's rule to all indeterminate forms?

  • tmt1
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Finding values for which a function is greater that 0

  • tmt1
  • · Replies 2 ·
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Graduate Minimizing cost with nonlinear denominators in binary connection matrix

  • smehdi
  • · Replies 8 ·
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8

Graduate Calculating Hessian of f(x)^TQy: What Can We Conclude?

  • perplexabot
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2

Limit Comparison Test: Does L Approaching Infinity Matter?

  • tmt1
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Integrating $\int_{1}^{\infty} {x}^{-3} lnx \,dx$: Is the Answer 1?

  • tmt1
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What is the Integral of 1 over 2 to the Natural Log of X?

  • tmt1
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Find the Particular Solution for ds/dt = 14t^2+3t-3 with s=124 at t=0

  • hallie
  • · Replies 3 ·
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3

Undergrad Finding width formulas for hydrostatic force on triangular surfaces

  • Virang807
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1

Undergrad Why does differentiating a power series shift where n starts from 0 to 1?

  • Frankenstein19
  • · Replies 3 ·
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3

High School Calculating Length Along X-Axis for a Rotating Line

  • karen_lorr
  • · Replies 2 ·
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2

S6-7.1.79 log integral u substitution

  • karush
  • · Replies 6 ·
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6

High School Finding the range of y when x equals 0

  • SamitC
  • · Replies 4 ·
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4

Limit Function: Finding Solution

  • tmt1
  • · Replies 3 ·
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3

Undergrad Why is the plane with the x-axis removed not simply connected?

  • Aldnoahz
  • · Replies 6 ·
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3

Undergrad A few questions about inverse operations.

  • Isaac0427
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2

Determining if a function is injective

  • markosheehan
  • · Replies 1 ·
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1

High School Inflection point criterion for f(x) = x^4 when f''(0) = 0

  • leright
  • · Replies 22 ·
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22

How Do You Analyze Particle Motion Along the X-axis Using Calculus?

  • noname09
  • · Replies 1 ·
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1

Finding if a series converges or diverges

  • tmt1
  • · Replies 4 ·
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4

How to solve this integral word problem from a chapter review

  • karush
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2

Inequality Of The Sum Of A Series

  • anemone
  • · Replies 3 ·
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3

Undergrad Partial integration vs total integration and time-dependent force

  • Happiness
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8

Undergrad What is a functional? Different definitions across contexts?

  • observer1
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5
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2

Solving Series Limit Problem: Find Convergence/Divergence

  • tmt1
  • · Replies 1 ·
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Undergrad Integrating √(ex-3) with u-substitution

  • albalaka
  • · Replies 8 ·
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8

Undergrad Prove centre of mass of an arc is rotationally invariant

  • Happiness
  • · Replies 4 ·
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4

High School Calculating Volume of an Arbitrary Pyramid

  • Guest432
  • · Replies 7 ·
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7

Convergence of Sequence with Increasing Values of n?

  • karush
  • · Replies 7 ·
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7

Evaluating a limit with a factorial

  • tmt1
  • · Replies 3 ·
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3

Undergrad Second order Taylor approximation

  • tanvi nautiyal
  • · Replies 2 ·
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2

Grade 12 calculus review questions before test

  • JessiMen
  • · Replies 11 ·
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11

Using the squeeze theorem to show lim(n!)/n^x = 0

  • karush
  • · Replies 6 ·
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6

Undergrad Change of variables in double integral

  • Happiness
  • · Replies 19 ·
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19

Undergrad Why does the curl of a vector field converge?

  • guitarphysics
  • · Replies 3 ·
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3

Natural Log Rule: $\frac{a}{b}=-\frac{b}{a}$?

  • tmt1
  • · Replies 2 ·
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2

Limit of a Geometric Sequence: How to Evaluate?

  • tmt1
  • · Replies 1 ·
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1

How Do You Differentiate (1+sin²x)³?

  • markosheehan
  • · Replies 2 ·
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2

Finding Functions: Amplitude, Period, Frequency, Phase Angle

  • fordy2707
  • · Replies 3 ·
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3

Why Is the Limit of This $\ln$ Sequence Incorrect?

  • tmt1
  • · Replies 1 ·
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1
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1

Undergrad Can Mass be Found Using Surface Integral and Density?

  • chetzread
  • · Replies 3 ·
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3

Integral using trig substitution

  • tmt1
  • · Replies 5 ·
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5

Graduate Calculating the Integral of $\sqrt{\frac{x}{x-a}}$

  • felicja
  • · Replies 15 ·
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15

8.8.16 LCC 206 Integral at infinity

  • karush
  • · Replies 7 ·
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7

Graduate Checking a proof from a calculus textbook

  • JasMath33
  • · Replies 4 ·
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4

Finding a for local minimum on y = -4x

  • Bushy
  • · Replies 4 ·
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4

Undergrad Simplifying a limit definition of derivative with rational function

  • MrDickinson
  • · Replies 8 ·
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8
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1

What Is the Sum of the Series \( \sum_{n=1}^\infty \frac{n}{(n+1)!} \)?

  • hobomath
  • · Replies 1 ·
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1

Solving an Integral: Struggling to Make Progress?

  • tmt1
  • · Replies 2 ·
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2

Solving y' and y'' for y=1/x²: How to Equal Zero?

  • markosheehan
  • · Replies 2 ·
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2

Undergrad Asymptotic Behavior of Modified Bessel Functions

  • stevendaryl
  • · Replies 4 ·
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4
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1

This limit does not exist as it approaches 1 from both sides.

  • tmt1
  • · Replies 2 ·
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2