New posts in taylor-expansion

Exponential of powers of the derivative operator

analysis taylor-expansion exponential-function lie-algebras partial-derivative

Settle a classroom argument - do there exist any functions that satisfy this property involving Taylor polynomials?

calculus sequences-and-series convergence-divergence taylor-expansion uniform-convergence

Understanding the Taylor expansion of a function

calculus taylor-expansion

Find a function for the infinite sum $\sum_{n=0}^\infty \frac{n}{n+1}x^n$

calculus sequences-and-series taylor-expansion closed-form

Finding the Maclaurin polynomial of order 6 of: $f(x)=x\ln(1+x^{3})\ln(1-x^{2})$

calculus taylor-expansion

Simplifying $\cosh x + \sinh x$, $\cosh^2 x + \sinh^2 x$, $\cosh^2 x - \sinh^2 x$ using only the Taylor Series of $\cosh,\sinh$

calculus power-series taylor-expansion

Taylor series convergence/sum question [duplicate]

calculus taylor-expansion

Do the Taylor series of $\sin x$ and $\cos x$ depend on the identity $\sin^2 x + \cos^2 x =1$?

combinatorics trigonometry power-series taylor-expansion

Are there always singularities at the edge of a disk of convergence?

calculus sequences-and-series complex-analysis convergence-divergence taylor-expansion

What does it mean for a polynomial to be the 'best' approximation of a function around a point?

real-analysis calculus taylor-expansion approximation

how to prove that $\ln(1+x)< x$ [duplicate]

calculus logarithms taylor-expansion

Taylor expansion of $\arccos(1-x)$ around $x=0$ to two terms

taylor-expansion

Is Fourier series an "inverse" of Taylor series?

sequences-and-series taylor-expansion fourier-series

What kind of functions cannot be described by the Taylor series? Why is this?

power-series taylor-expansion elementary-functions

Maclaurin series of $(1+x^3)/(1+x^2)$

sequences-and-series power-series taylor-expansion

On the vector spaces of Taylor Series and Fourier Series

functional-analysis vector-spaces fourier-analysis taylor-expansion fourier-series

"Taylor Series" analog for functionals?

functional-analysis taylor-expansion functional-calculus

Doubt about Taylor series: do successive derivatives on a point determine the whole function?

calculus functions taylor-expansion

Are Taylor series and power series the same "thing"?

real-analysis complex-analysis power-series taylor-expansion

Function $f(x)$, such that $\sum_{n=0}^{\infty} f(n) x^n = f(x)$

sequences-and-series taylor-expansion