Mathematics
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Riemann
  • Member for 10 years, 1 month
  • Last seen this week
  • Xi'an, China
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I like math so much!

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All Questions Answers
Score Newest
answer
34
Prove the following integral inequality: $\int_{0}^{1}f(g(x))dx\le\int_{0}^{1}f(x)dx+\int_{0}^{1}g(x)dx$
Jan 13, 2013
question
16
Positive series problem: $\sum\limits_{n\geq1}a_n=+\infty$ implies $\sum_{n\geq1}\frac{a_n}{1+a_n}=+\infty$
Apr 14, 2012
answer
13
Finding all $ f : \mathbb R \to \mathbb R $ satisfying $ f \bigl ( f ( x ) f ( y ) \bigr ) + f ( x + y ) = f ( x y ) $ for all $ x , y \in \mathbb R $
Jul 26, 2017
answer
13
Interesting limit: $I(n)=\lim_{x \to 0} (e^x-1)^{-n} - \left(\frac{x}{1!}+\frac {x^2}{2!}+\dotsb+\frac{x^n}{n!}\right)^{-n}$
Aug 26, 2018
answer
9
Does the sequence $(1,\frac{1}{2},\frac{1}{2^\frac{1}{2}},\frac{1}{3},\frac{1}{3^\frac{1}{2}},\frac{1}{3^\frac{1}{3}},\ldots)$ converge?
Jan 20, 2013
answer
9
Recursive sequence - Convergency and Limit
Apr 11, 2012
question
9
Series problem! Can someone give me a counterexample?
Apr 10, 2012
question
7
Find limit $\lim_{n\to \infty}\frac{\sum_{k=1}^n k^n}{n^n}$.
Jul 31, 2018
question
7
Monotonicity of the function $(1+x)^{\frac{1}{x}}\left(1+\frac{1}{x}\right)^x$.
Sep 7, 2018
question
7
Convergence of sequences $\sum_{k=1}^n \frac{1}{k}\sin\frac{n}{k}$ as $n\to\infty$.
May 17, 2021

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