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Mathematics
Paramanand Singh
Meta User
Network Profile
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1,961 Answers

newest activity votes
54
Why does simplifying a function give it another limit
Jun 12 '16 at 1:14
34
How to calculate $\lim_{x \to 0} \frac{x^{6000} - (\sin x)^{6000}}{x^2(\sin x)^{6000}}$?
May 15 '16 at 16:38
29
Ramanujan's approximation for $\pi$
Sep 7 '14 at 5:39
25
Motivation for/history of Jacobi's triple product identity
Jul 12 '13 at 8:57
24
Infinite Integration by Parts
Feb 15 '17 at 4:53
22
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
Oct 20 '13 at 8:11
20
Proving $\sum_{n=-\infty}^\infty e^{-\pi n^2} = \frac{\sqrt[4] \pi}{\Gamma\left(\frac 3 4\right)}$
May 25 '16 at 4:01
19
The Main Theorems of Calculus
May 16 '16 at 8:05
19
Proving $\left(1-\frac13+\frac15-\frac17+\cdots\right)^2=\frac38\left(\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\frac1{4^2}+\cdots\right)$
Oct 3 '17 at 11:52
18
Limits and algebraic simplification
Sep 23 '17 at 15:27
17
Is there a “positive” definition for irrational numbers?
Sep 6 '16 at 11:35
16
Taylor's Theorem with Peano's Form of Remainder
Jun 2 '16 at 5:51
15
Finding a limit using change of variable- how come it works?
Dec 18 '14 at 7:12
15
The derivative of $e^x$ using the definition of derivative as a limit and the definition $e^x = \lim_{n\to\infty}(1+x/n)^n$, without L'Hôpital's rule
Oct 27 '13 at 10:41
15
What is the most unusual proof you know that $\sqrt{2}$ is irrational?
Jun 14 '15 at 5:03
14
Motivation for Ramanujan's mysterious $\pi$ formula
Jul 2 '13 at 5:16
14
If $f$ is continuous and $f(x+y)=f(x)f(y)$, then $\lim\limits_{x \rightarrow 0} \frac{f(x)-f(0)}{x}$ exists
Aug 8 '16 at 9:19
13
Why can't epsilon depend on delta instead?
Jun 14 '15 at 6:18
12
Perfect understanding of Riemann Sums
Oct 27 '18 at 6:43
12
Analyzing limits problem Calculus (tell me where I'm wrong).
May 13 '16 at 14:34
12
How can I calculate $\lim_{n \rightarrow \infty} \frac {e^n(2n)!}{(4n)^nn!}$
Jul 11 '18 at 15:31
12
series involving $\log \left(\tanh\frac{\pi k}{2} \right)$
May 21 '16 at 3:50
12
Prove that $\sin n\theta=n\sin \theta-\frac{n(n^2-1)}{3!}\sin^3\theta+\frac{n(n^2-1)(n^2-3^2)}{5!}\sin^5\theta+\cdots$
Apr 12 '16 at 13:00
11
Proving $f'(1)$ exist for $f$ satisfying $f(xy)=xf(y)+yf(x)$
Jan 10 '17 at 4:49
11
Does $\varphi(x)\le\int_0^x\varphi(t)dt$ for all $x\in[0,\infty)$ imply $\varphi\equiv0$.
Nov 25 '17 at 9:43
11
Show integral limit
Feb 24 '17 at 10:02
11
mathematics was recreated on a foundation of number concepts rather than geometrical ones
May 28 '16 at 12:21
11
Does a limit at infinity exist?
May 12 '16 at 8:37
11
Limit of the derivative of a function
May 6 '16 at 9:33
11
Finding the Limit of a Sequence (No L'Hopital's Rule)
Apr 26 '16 at 8:44
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