New posts in power-series

Bernoulli Number analog using Cosine

sequences-and-series reference-request power-series taylor-expansion bernoulli-numbers

Evaluation of $\sum_{n=0}^{\infty}\frac{1}{(n^4+n^2+1)n!}$

sequences-and-series power-series harmonic-numbers

What's the idea behind the Taylor series?

power-series taylor-expansion math-history

Formula for finite power series

summation power-series geometric-series

Is the set of roots of power series with integer coefficients countable?

power-series roots

Cauchy product on exponential-looking power series

real-analysis sequences-and-series power-series

Strategy for expanding the function $e^{e^x-1}$ into Maclaurin series

calculus sequences-and-series power-series taylor-expansion

Why is infinity multiplied by zero considered zero here?

sequences-and-series limits proof-explanation power-series indeterminate-forms

What kind of series is the function $\frac{x}{e^x-1}$?

calculus sequences-and-series power-series

Maclaurin series for $\arctan^{2}(x)$

sequences-and-series power-series taylor-expansion

Convergence of alternting series of complex numbers in Riemann Zeta [duplicate]

complex-analysis power-series riemann-zeta analyticity

any pattern here ? (revised 2)

linear-algebra sequences-and-series combinatorics power-series recreational-mathematics

Show that $\frac{x}{3!}-\frac{x^3}{5!}+\frac{x^5}{7!}-\cdots\leq \frac{1}{\pi}$.

calculus inequality power-series

Important identities that can be obtained by manipulating the function $\frac{x}{e^x-1} = \frac{B_0}{0!} + \frac{B_1}{1!}x + \frac{B_2}{2!}x^2 + ...$?

calculus complex-numbers power-series intuition generating-functions

Sum of sum of $k$th power of first $n$ natural numbers.

number-theory power-series natural-numbers

Series expansion for $\arctan(1-x)$

calculus sequences-and-series power-series

What function, if any, is represented by this series?

real-analysis power-series

Power series expansion of $\arctan{\left(\frac{1-x^2}{2+x^2}\right)}$

sequences-and-series power-series generating-functions

Interpolation and Taylor's Theorem

calculus numerical-methods power-series interpolation truncation-error

Find the sum $\sum\limits_{k=0}^\infty (-2)^k\frac{k+2}{k+1}x^k$

real-analysis calculus sequences-and-series power-series