Mathematics
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Koro
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All Questions Answers
Score Newest
question
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
answer
11
Evaluating $\int\frac{e^{\tan^{-1} x}}{(1+x^2)^{\frac32}}dx$
Mar 27, 2021
answer
7
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
question
7
Finding the value of $\lim_{a\to \infty}\int_0^1 a^x x^a \,dx$
May 12
question
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
answer
5
$\lim\limits_{x \to \infty} \frac{\ln x}{x} =0$
Nov 25, 2021
answer
5
Is my proof for composition of uniformly continuous function correct?
Aug 12, 2021
answer
5
Various ways to calculate $\int \sin(x) \cos(x) \, \mathrm{d}x$
Sep 28, 2021
answer
5
Show that $\phi (x)\cdot \phi (y)=x\cdot y$ for all $x,y\in \mathbb{R}^3$
Jul 11, 2021
answer
5
How to find $\lim_{n\to \infty} \frac{\log(n)}{n}$ without L'Hospital's rule?
Jan 9

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