DonAntonio
Reputation
99/100 score
9 62 157
Impact
~2.1m people reached

 102 Why does factoring eliminate a hole in the limit? 56 Find $\lim\limits_{n \rightarrow \infty}\dfrac{\sin 1+2\sin \frac{1}{2}+\cdots+n\sin \frac{1}{n}}{n}$ 54 How I can prove that the sequence $\sqrt{2} , \sqrt{2\sqrt{2}}, \sqrt{2\sqrt{2\sqrt{2}}}$ converges to 2? 47 Is $83^{27} +1$ a prime number? 37 Why is $\Gamma\left(\frac{1}{2}\right)=\sqrt{\pi}$ ?

### Reputation (107,913)

 +20 If $G$ is a non-abelian group of order 10, prove that $G$ has five elements of order 2. +30 Why are the limits different? +10 How to show $\lim_{(x,y) \to (0,0)} \frac{3x^2y^2}{x^4+y^4}=\frac{3}{2}$ using the $\epsilon$-$\delta$ notation. +15 Relation between Supremum and limit superior

### Questions (9)

 16 Integration by means of complex analysis 10 Complex analysis exercises 7 a) Prove that $f$ has a removable singularity if $f'$ does; b) Evaluate $\int_0^\infty\frac{\log x}{(1+x)^3}\,dx$ 7 A complex map with “bounded” derivative is injective 6 Basic Calculus counterexample

### Tags (362)

 2k calculus × 649 713 sequences-and-series × 293 1k abstract-algebra × 578 707 real-analysis × 325 968 group-theory × 447 591 integration × 300 885 linear-algebra × 506 529 complex-analysis × 297 804 limits × 265 454 algebra-precalculus × 212

### Accounts (4)

 Mathematics 107,913 rep 962157 Academia 161 rep 2 MathOverflow 101 rep 1 Meta Stack Exchange 101 rep 2