Question

Are $x^2$ and $x^2 + 1$ asymptotic?

score 263 · Answer 1 · 2026-04-16 13:06:15

263

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Are $x^2$ and $x^2 + 1$ asymptotic?

Published on 16 Apr 2026 - 13:06

score 148 · Answer 2 · 2026-03-25 20:13:48

148

Views

Computing $\lim_{n \rightarrow \infty} \int_{0}^{\pi/3} \frac{\sin^{n}x}{\sin^{n}x+\cos^{n}x}dx$ using Dominated Convergence Theorem

Published on 25 Mar 2026 - 20:13

score 1.2k · Answer 3 · 2026-04-20 15:30:01

1.2k

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Pointwise, uniform and absolute convergence of function-series $\sum_{n=1}^\infty f_n$ with $f_n=(-1)^n\frac{x}{n}$

Published on 20 Apr 2026 - 15:30

score 196 · Answer 4 · 2026-04-17 13:42:38

196

Views

Prove that $0.\overline{9}= 1$

Published on 17 Apr 2026 - 13:42

score 60 · Answer 5 · 2026-04-12 20:18:43

60

Views

What is the power series of $a^x$

Published on 12 Apr 2026 - 20:18

score 68 · Answer 6 · 2026-04-09 06:39:13

68

Views

Convergence of a series through comparison test

Published on 09 Apr 2026 - 6:39

score 118 · Answer 7 · 2026-04-20 02:59:38

118

Views

Integrating $\int_{0}^{1} x^a (1-x)^b (1-2x)^c \, \mathrm dx $

Published on 20 Apr 2026 - 2:59

score 91 · Answer 8 · 2026-04-12 23:54:38

91

Views

Ramanujan’s puzzling problem

Published on 12 Apr 2026 - 23:54

score 48 · Answer 9 · 2026-04-16 01:22:31

48

Views

True or False: If $\lim_{n\to\infty}a_n=\infty$ then exists $M>0$ such that $a_{n+1}>Ma_n$ for almost all $n$?

Published on 16 Apr 2026 - 1:22

score 1.1k · Answer 10 · 2026-04-12 17:19:51

1.1k

Views

How should I prove that $ |e^{ia}-e^{ib}|=2\sin\frac{|a-b|}{2}\leq|a-b| $?

Published on 12 Apr 2026 - 17:19

score 48 · Answer 11 · 2026-04-14 14:08:50

48

Views

Multivariate Distribution with $x+y>1$ constraint

Published on 14 Apr 2026 - 14:08

score 43 · Answer 12 · 2026-04-11 15:23:19

43

Views

Question about a technique used to find extremum of a polynomial function

Published on 11 Apr 2026 - 15:23

score 31 · Answer 13 · 2026-04-11 03:29:56

31

Views

Computing Volume Using Integration

Published on 11 Apr 2026 - 3:29

score 1k · Answer 14 · 2026-04-15 04:07:35

1k

Views

A set $S \subset \mathbb{R}$ has no cluster points iff $S \cap [-n,n]$ is a finite set for each $n \geq 1$

Published on 15 Apr 2026 - 4:07

score 120 · Answer 15 · 2026-04-14 00:31:25

120

Views

Find the particular solution of the differential equation.

Published on 14 Apr 2026 - 0:31

List Question

Are $x^2$ and $x^2 + 1$ asymptotic?

Computing $\lim_{n \rightarrow \infty} \int_{0}^{\pi/3} \frac{\sin^{n}x}{\sin^{n}x+\cos^{n}x}dx$ using Dominated Convergence Theorem

Pointwise, uniform and absolute convergence of function-series $\sum_{n=1}^\infty f_n$ with $f_n=(-1)^n\frac{x}{n}$

Prove that $0.\overline{9}= 1$

What is the power series of $a^x$

Convergence of a series through comparison test

Integrating $\int_{0}^{1} x^a (1-x)^b (1-2x)^c \, \mathrm dx $

Ramanujan’s puzzling problem

True or False: If $\lim_{n\to\infty}a_n=\infty$ then exists $M>0$ such that $a_{n+1}>Ma_n$ for almost all $n$?

How should I prove that $ |e^{ia}-e^{ib}|=2\sin\frac{|a-b|}{2}\leq|a-b| $?

Multivariate Distribution with $x+y>1$ constraint

Question about a technique used to find extremum of a polynomial function

Computing Volume Using Integration

A set $S \subset \mathbb{R}$ has no cluster points iff $S \cap [-n,n]$ is a finite set for each $n \geq 1$

Find the particular solution of the differential equation.

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