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Koro
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14
Showing that if $\sum a_n,a_n\ge 0$ converges, then $\sum_{n=1}^\infty\frac {1}{n^2a_n}$ diverges.
Mar 25, 2022
12
Evaluating $\int\frac{e^{\tan^{-1} x}}{(1+x^2)^{\frac32}}dx$
Mar 27, 2021
10
Problem when proving the series $1+\frac 13-\frac 12+\frac 15+\frac17-\frac 14 +\frac 19+\frac 1{11}-\frac 16+...$ converges to $\frac 32\log 2.$
Jun 16, 2023
9
Find the minimum of $\frac{\sin x}{\cos y}+\frac {\cos x}{\sin y}+\frac{\sin y}{\cos x}+\frac{\cos y}{\sin x}$
Nov 30, 2021
8
Finding the value of $\lim_{a\to \infty}\int_0^1 a^x x^a \,dx$
May 12, 2022
6
Various ways to calculate $\int \sin(x) \cos(x) \, \mathrm{d}x$
Sep 28, 2021
6
if $\displaystyle\lim_{z\to\infty} f(z)=0$ then f is bounded, for a holomorphic function $f$
Apr 24, 2023
6
Proof verification: Given $\lim_{x\to 0}\frac{f(2x)-f(x)}{x}=0$ and $\lim_{x\to 0} f(x)=0$, show that $\lim _{x\to 0}\frac {f(x)}{x}=0$.
Jan 23, 2022
6
Problem from Zorich's book volume 1
Apr 12, 2021
6
Is my proof for composition of uniformly continuous function correct?
Aug 12, 2021