Mathematics
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Hilbert1994
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question
8
How to prove the following inequality with trigonometric function [duplicate]
Jan 16, 2021
question
7
proved that$f (x)$ is uniformly continuous on $[0,+\infty)$ if and only if $\lim\limits_{x\to+\infty}\frac{f(x)}{x}$ exists.
Aug 7, 2021
answer
7
Show that $\int^b_a f^3(x)dx \le ( \int^b_a f(x)dx )^2$ when $f(a)=0$ and $0 \le f'(x) \le 1$
Jan 7, 2021
answer
6
Prove that if $f(x)$ is differentiable, $f(0)=0$ and $f(1)=1$, then $\int_0^1|f(x)-f'(x)|\mathrm dx\geq\frac1{\mathrm e}$.
Dec 30, 2020
answer
5
Integral of $\int \frac{x^2+5x-3}{x+2}dx$ using integration by parts?
Jan 15, 2021
question
5
How to calculate the limit of zeta function
Jan 27, 2021
question
4
How to prove the following double factorial inequality
Jan 6, 2021
question
4
How to prove the following integral inequality with exponential function
Jan 7, 2021
question
4
How to solve the following limit similar to factorial type
Apr 4, 2021
question
3
How to prove that $\sum\limits_{n=1}^{\infty}f(\frac{1}{n})$ convergence?
Sep 4, 2021