Expansion of $\frac{1}{(1 - e^{-x})}$
119243
Taylor Series Expansion of $\frac{1}{\sin 2x}$ and $\frac{1}{1-e^{-x}}$
157725
does $\int _{1}^{\infty}\frac{p(x)}{e^x}$ converge?
129236
Continued fraction for $\frac{1}{e-2}$
77821
Taylor series expansion of function $f(x) = \frac{\arcsin(x)}{\sqrt{1-x^2}}$
130854
Constructing example showing $\mathbb{E}(X^{-1})=(\mathbb{E}(X))^{-1}$
51284
$\int_{-\infty}^\infty \frac{e^{ax}}{1+e^x}dx$ with residue calculus
67350
Analytic solution of: ${u}''+\frac{1}{x}{u}'=-\delta e^{u}$
34496
Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$
16418
Showing that $\frac{f(x)-f(x-h)}{h} \le f'(x) \le \frac{f(x+h)-f(x)}{h}$ given that f' is increasing
4971
$\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$
74664
A question regarding power series expansion of an entire function
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
101792
By expanding $e^x$ into a series prove the following inequality
107179
Partial fraction expansion of $\frac{1}{x(x+1)(x+2)\cdots(x+n)}$
57203
Prove that $\lim_{x \to \infty}\big(\frac{x}{x-1}\big)^x$ is also $e$.
85311
Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator