Taylor series and periodicity
13566
Is it possible to detect periodicity of an analytic function from its Taylor series coefficients at a point?
150092
Iterated sums and asymptotics
45517
Prove Taylor series converges to $f$.
153009
Evaluating power series on the radius of convergence for $\tan^{-1}(x)$
15811
Finding a basis for a certain vector space of periodic polynomials
133913
Power series and intervals of convergence
94843
What is the Taylor series of a square root?
59481
Even and odd functions for Taylor serie
99782
$a_{n+1}=|a_n|-a_{n-1} \implies a_n \; \text{is periodic}$
158230
prove that a non constant periodic, continuous function has a "smallest period"
140399
Taylor series for $\ln(\frac{1-z^2}{1+z^3})$
36424
What is the Taylor series of $\ln \frac{1-x^2}{1+x^2}$?
68550
What is the radius of convergence of the Taylor series of $\frac{2\tan x}{1+4x^2}$ around $x=0?$
149895
A more convenient Fourier series
33689
How to find the period of an arbitrary mathematical function?
123286
Taylor series for unitary operator in Weinberg
54297
Is $f(x)=10$ a periodic function?