New posts in taylor-expansion

Taylor expansion for $\arcsin^2{x}$

taylor-expansion

Third order term in Taylor Series

taylor-expansion

Can Taylor's expansion(finite number of terms) be always close enough to the original function?

calculus sequences-and-series taylor-expansion approximation

A sum similar to Harmonic numbers.

sequences-and-series limits asymptotics taylor-expansion harmonic-numbers

Multivariate Taylor Expansion

real-analysis taylor-expansion multilinear-algebra

Substituting for Taylor series

calculus taylor-expansion

Taylor series leads to two different functions - why?

calculus taylor-expansion

How can I prove that $x-{x^2\over2}<\ln(1+x)$

inequality logarithms taylor-expansion

Is it possible to detect periodicity of an analytic function from its Taylor series coefficients at a point?

taylor-expansion periodic-functions

Prove limit is zero $A_n = \frac{(1/3)(1/3+1)\dots(1/3 + (n-1))}{n!}$

real-analysis sequences-and-series taylor-expansion

How to derive this series

calculus sequences-and-series taylor-expansion

Third degree Taylor series of $f(x) = e^x \cos{x} $

real-analysis sequences-and-series power-series taylor-expansion

On what interval does a Taylor series approximate (or equal?) its function?

calculus taylor-expansion

How to check the real analyticity of a function?

real-analysis analysis convergence-divergence taylor-expansion

Asymptotic equivalence and kth derivative

calculus functions solution-verification asymptotics taylor-expansion

Taylor Series for $\log(x)$

logarithms taylor-expansion

Find the number of real roots of $1+x/1!+x^2/2!+x^3/3! + \ldots + x^6/6! =0$.

polynomials taylor-expansion exponential-function roots

Is the Maclaurin series expansion of $\sin x$ related to the inclusion-exclusion principle?

calculus combinatorics trigonometry taylor-expansion inclusion-exclusion

2nd order Taylor expansion of 2nd symmetric derivative

calculus taylor-expansion

Power series of $1/(1-x-x^2)$

calculus taylor-expansion