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legionwhale
  • Member for 3 years, 3 months
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3 votes

Evaluating $\int_0^{\infty} \frac{\ln (x)}{1-x^n}\text{d}x$

3 votes
Accepted

Proving unique factorization for the set of even numbers

2 votes

Is there anything wrong with this proof that $\lim_{x\to0} \frac{\sin(x)}{x} = 1$?

1 vote

What is the proof of this property of integrals involving $e?$

1 vote

Prove the inequality $\ln {(1+\frac{1}{x})}> \frac{2}{2x+1}$

1 vote

Compactness, open covers and intersection

1 vote
Accepted

Prove that if $f(x)=x^TQx$ is convex then $Q$ is positive semidefinite

1 vote
Accepted

$|p\min(x,q)-y\min(x,w)| \leq x |p-y|?$

1 vote

Changing the interval for alternating series test

1 vote

Some apparently simple algebraic manipulation I just cant figure out ....

1 vote

An unorthodox way to find cardinalities?

0 votes

Zeros of an entire function $f(z)$

0 votes

$n$ divides $\sum_{i=1}^ni^k$ for all $k=1,2,...,99$ Prove that $n$ isn't divisible by any number in $\{2,...100\}$

0 votes

what is the limit of $\underset{x\to 0}{\mathop{\lim }}\,{{\left( \int_{0}^{x}{{{e}^{{{t}^{2}}}}dt} \right)}^{1/x}}$

0 votes
Accepted

Series $\sum_{n=2}^{\infty}\frac{1}{(\ln \ln n)^{\ln n}}$ and $\sum_{n=2}^{\infty}\frac{1}{(\ln n)^{\ln \ln n}}$

0 votes

A closed expression for this sequence of integers

0 votes

Show that $a^n \mid b^n$ implies $a \mid b$

0 votes

Prove that a sequence tends to positive infinity if it is increasing and it is not bounded

0 votes

Real numbers have at most two decimal expansions

0 votes

Aymptotic formula/closed form for $ \sum_{r=1}^{n} {n \choose r} \frac{f^{(r-1)}(1)}{(r-1)!}$

0 votes
Accepted

Proving that a complex-valued function is well-defined and analytic in a ball

0 votes

How to prove that $\ln (N+1) - \ln (N) \geq \frac{1}{N+1}$

0 votes

Choice of $\delta$ for "brute force" proof of continuity of exponential function $e^x$

0 votes
Accepted

How do you formally justify using limits on an interval?