# Calculus

- Elementary functions. Calculating limits, derivatives and integrals. Optimization problems
 Meta Thread / Thread Starter Last Post Replies Views Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions... Feb23-13 10:24 AM micromass 1 37,595 So the definition states.( For any epsilon>0, there exists a delta>0 such that 0<|x-a| |f(x)-L|0 there exists delta>0 such that for all x in the domain of f... Feb21-11 01:55 PM lavinia 3 960 http://latex.codecogs.com/gif.latex?\\\&space;f(x)&space;=&space;\lim_{n\rightarrow&space;\infty&space;}\frac{1-x^{n}}{... Feb21-11 12:42 PM Abdul Quadeer 5 844 Hey guys, I just have a quick question about the derivative of ln(x). If i was to calculate the derivative of ln(x... Feb21-11 09:15 AM Redbelly98 6 3,329 say we are given sequences a(n), b(n) such that, a(n)->a, b(n)->b that means for epsilon>0, ... Feb21-11 06:23 AM Citan Uzuki 4 823 can we say that f \leq Mf and how can we say if we can say? here M denotes the Hardy-Littlewood maximal operator. Feb20-11 05:55 PM fderingoz 0 597 Edit: Whoops. Was intending to post this in the homework forum but accidentally didn't... Question: If \lim_{x \to... Feb20-11 09:17 AM Landau 17 15,414 Hi there! Yesterday, while giving the definition of n times differentiable function (of a real function of a single... Feb20-11 05:07 AM arestes 5 2,572 Hi there, Could you please help me in how to prove the following : If Y is a closed linear subspace of a normed... Feb20-11 04:17 AM Landau 5 954 I'm reading through a proof (the full theorem statement is at the bottom of the post) in a book on probability and I'm... Feb20-11 04:03 AM JFo 1 1,647 I'm trying to understand the multiple limit processes involved with the Dirac delta function. Does it matter which... Feb20-11 02:54 AM DrRocket 9 3,792 I'm wondering if there is a monotonically increasing function with a jump discontinuity at every rational (or any... Feb19-11 08:38 PM AlephZero 2 719 I am given that An/Bn -> L, as n goes to infinity, where An and Bn are sequences. I also know that An and Bn converge... Feb19-11 11:17 AM Fisicks 2 520 I know this question has been out there many times. I read many threads already but I just didn't find a satisfactory... Feb19-11 07:19 AM arildno 4 1,456 I was reading a book which is a collection of interesting mathematical journal articles. Within the book there was an... Feb18-11 10:14 PM mjpam 4 1,931 We have a formula for the derivative of an inverse function: dy/dx = 1/(dx/dy). Just how useful is it? Say we... Feb18-11 08:55 PM JungleJesus 5 2,535 f is a holomorphic polynomial and if $\oint_{\partial D(0,1)}f(z)\bar{z}^{j}dz=$ 0 for j = 0,1,2,3... where... Feb18-11 01:37 PM mathwonk 4 1,424 http://i55.tinypic.com/2zzkbgk.gif Did Fubini's Theorem fail here? Feb18-11 12:50 PM aldrinkleys 2 2,258 Anyone who knows the limits of orthogonality for Bessel polynomials? Been searching the Internet for a while now and I... Feb18-11 12:13 AM LCKurtz 1 787 For a fixed y \in R , if f(x) = -(sin x) (cos y) − (cos x) (sin y)and we let E(x) = ^2+^2. How do we prove the... Feb17-11 11:56 PM LCKurtz 1 2,644 I recently solved a problem involving multiple points that were intended to be proven to be coplanar. Someone else... Feb17-11 09:15 PM ZeroSum 5 2,065 Hello, I am preparing for a screening exam and I'm trying to figure out some old problems that I have been given. ... Feb17-11 08:22 PM scottneh 2 511 Hello all, Is there a closed form expression for the convergence of C(s) = \sum_{n=1}^{N} n^{s} Cheers,... Feb17-11 06:19 PM Mute 2 790 If S=sup {Sn: n>N}, is it true that kS= sup{kSn: n>N} where k is any scalar? Thanks! Feb17-11 05:10 PM micromass 2 821 How do I find the indefinite integral \int\frac{dx}{x^{2}+16} without using partial integration or variable change? I... Feb17-11 04:53 PM lurflurf 1 1,008 Hello, I am preparing for a screening exam and I'm trying to figure out some old problems that I have been given. ... Feb17-11 02:55 PM scottneh 0 395 As per the attachment, I understand that 0 over 0 is indeterminate form, and that something over 0 is undefined. The... Feb17-11 01:54 PM deluks917 4 9,963 Given an indefinite integral, \int f(x) dx = F(x) + C, I am having some problems in understanding what this... Feb17-11 11:53 AM disregardthat 12 1,752 greetings, consider a function f(x,y); the total derivative of a function of two varible is given by-: ... Feb17-11 06:42 AM amaresh92 3 746 So, the definition of Laplace transform is: \int_{0}^{\infty} e^{-st} f(t) dt what if: ... Feb16-11 08:44 PM clustro 2 909 i have the integral equation 1-e^{-x} = \int_{0}^{\infty}\frac{dt}{t} F((xt)^{1/2})f(1/t) from this equation... Feb16-11 11:35 AM zetafunction 0 492 for which f: R \rightarrow R such that \forall x,y\in R does | f(y) - f(x) | \mid \leq (y-x)^2 hold Feb15-11 11:59 PM JG89 9 840 Show that: lim (1-1/n)^n=1/e n->infinity I don't really know where to begin... Feb15-11 09:42 PM TylerH 17 14,673