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Wang Chen's user avatar
Wang Chen's user avatar
Wang Chen
  • Member for 7 years, 1 month
  • Last seen more than 2 years ago
2 votes
1 answer
144 views

Determine whether the series converges uniformly?

2 votes
1 answer
554 views

Abel's theorem and power series

2 votes
5 answers
113 views

Find $\lim_{x \to 0} (\frac {\sin x}{x})^{\frac{1}{\sin^2x}}$

1 vote
2 answers
174 views

$\lim\limits_{x \to a} f(x)=L $ and $\lim\limits_{x \to L} g(x)=M$ implies $\lim\limits_{x \to a} g(f(x))=M$?

1 vote
3 answers
166 views

Find the sum of the series $\sum_{k=1}^\infty \frac{(-1)^{k-1}}{2^kk}$

1 vote
1 answer
586 views

How many ways to distribute the numbers into two groups?

0 votes
1 answer
25 views

Is it possible to find some value of $k$ such that the following inequality hold?

0 votes
3 answers
52 views

Prove that $|\int_{0}^{1}e^{x^2}dx-\sum_{k=0}^{n-1}\frac{1}{(2k+1)k!}| \leq \frac{3}{n!}$

0 votes
1 answer
98 views

Proof of metric space [closed]

0 votes
1 answer
275 views

Check whether sets are closed, open, compact or connected

0 votes
1 answer
60 views

Prove that $\left[\sum_{k=0}^n \binom{n}{k}\right]^2 = \sum_{k=0}^{2n} \binom{2n}{k}$ [closed]