Does An = {(1+3/n)^(4n)} Converge?

  • Thread starter Thread starter bns1201
  • Start date Start date
  • Tags Tags
    Convergence
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 2K views
bns1201
Messages
22
Reaction score
0

Homework Statement



An = {(1+3/n)^(4n)}


The Attempt at a Solution


Used the root test but it led to an inconclusive solution
 

Discussion

Physics news on Phys.org
Do you know what [itex](1+\frac{3}{n})^n[/itex] converges to?
 

Similar threads

Properties of the Function f:Z→Z with the Rule f(n) = 4n^3 - 1

  • nicnicman
  • · Replies 9 ·
  • Calculus and Beyond Homework Help
Replies
9

Does the Series ## \frac {(n^3+3n)^{1/2}} {5n^3+3n^2+2 sin (n)}## Converge?

  • chwala
  • · Replies 29 ·
  • Calculus and Beyond Homework Help
Replies
29

Determine Divergence of Ʃ ((n!)^n) /(4^(4n))

  • Jbreezy
  • · Replies 1 ·
  • Calculus and Beyond Homework Help
Replies
1

Find sum of convergent series: 2/[(4n-3)(4n+1)]

  • Lo.Lee.Ta.
  • · Replies 6 ·
  • Calculus and Beyond Homework Help
Replies
6

Does the Series \(\sum_{n=1}^{\infty} \frac{n+2^n}{n+3^n}\) Converge or Diverge?

  • Askhwhelp
  • · Replies 1 ·
  • Calculus and Beyond Homework Help
Replies
1

Does the series converge using the integral test?

  • opus
  • · Replies 16 ·
  • Calculus and Beyond Homework Help
Replies
16

Is the Interval of Convergence for (x-2)^n / n^(3n) from -1 to 5?

  • isukatphysics69
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2

Does the Integral from 8 to 666 of 1/((x^(1/3))-2) Converge or Diverge?

  • SteliosVas
  • · Replies 8 ·
  • Calculus and Beyond Homework Help
Replies
8

Does the Series Converge? A Comparison Test Approach

  • chwala
  • · Replies 20 ·
  • Calculus and Beyond Homework Help
Replies
20

Ratio Test and Radius of Convergence for ∑ ((n-2)2)/n2, n=1: Homework Solution

  • ScreamingIntoTheVoid
  • · Replies 23 ·
  • Calculus and Beyond Homework Help
Replies
23