New posts in taylor-expansion

Truncation error with growing step size

A simple series $\sum_{i=1}^\infty \frac{i}{2^i} = 2$ [duplicate]

Closed form for $\sum_{n=0}^\infty {1\over (xn)!}$

Properties of real analytic function [duplicate]

Basic Taylor expansion question

Applying MVT and IVT (?) to show something about f'''? (edit: actually, Taylor's Theorem using Lagrange remainder)

difference of square roots approximation

Series expansion: $1/(1-x)^n$

Proof of Extended Law of the Mean (Taylor's Formula)

When is it invalid to use taylor series expansion?

Show that $e^x \geq (3/2) x^2$ for all non-negative $x$

Why is $\sin{x} = x -\frac{x^3}{3!} + \frac{x^5}{5!} - \cdots$ for all $x$?

Derivation of the Boltzmann factor in statistical mechanics

Study the convergence of this: $\sum_n \frac{n! }{ 6\cdot7\cdots(n+5)}$ [closed]

Finding smooth behaviour of infinite sum

Proving that $(\sup_{x\in R}|f'(x)|)^2\leq 4\sup_{x\in R}|f(x)|\cdot\sup_{x\in R}|f''(x)|$. [duplicate]

Approximation of $\sin(\pi)$ by $f(x)=\sin(3x)$

Taylor series expansion for $\cos(2x)$ about $\frac{\pi}{8}$

Practical Use of Series Expansion at $x=\infty$

Composed series expansion understanding