User Anvit

9 votes

3 answers

492 views

Calculating a limit with trigonometric and quadratic function

limits-without-lhopital euler-mascheroni-constant

asked Feb 15, 2018 at 9:04

7 votes

8 answers

431 views

Binomial summation $\sum\binom nkk^2$

asked Apr 13, 2018 at 12:44

5 votes

3 answers

605 views

Integral part of sum of huge powers

algebra-precalculus

asked Apr 2, 2018 at 8:25

5 votes

3 answers

1k views

Number of solutions to $1/x+1/y=1/1995$ in $\mathbb N^2$ [duplicate]

elementary-number-theory

asked May 27, 2018 at 9:37

5 votes

1 answer

1k views

Multiplying congruences.

elementary-number-theory modular-arithmetic divisibility

asked May 27, 2018 at 16:01

5 votes

2 answers

62 views

Find positive $K$ such that $\int_0^\infty\left(\frac{1}{\sqrt{2x^2+1}}-\frac{K}{x+1}\right)dx$ converges

real-analysis improper-integrals

asked Feb 10, 2019 at 8:58

5 votes

1 answer

174 views

Minimum number of lattice points required so that there exists three points whose mean is also a lattice point

combinatorics pigeonhole-principle

asked Feb 11, 2020 at 7:37

4 votes

1 answer

110 views

Prove that $\lim_{x\to\infty}\sum_{n=1}^{\infty}\frac x{n^2+x^2}$ exists and is positive

real-analysis limits proof-verification

asked Apr 21, 2019 at 9:05

4 votes

1 answer

108 views

Given $G,H_1,H_2$ finite abelian groups and $G\times H_1 \cong G\times H_2$ then $H_1 \cong H_2$ [duplicate]

group-theory finite-groups group-isomorphism

asked Sep 8, 2019 at 11:32

4 votes

2 answers

106 views

Is $\int_{-2}^3\frac{1}{x^3}dx=\frac5{72}$ or not defined?

calculus integration

asked Jun 16, 2018 at 11:57

4 votes

2 answers

87 views

Every prime number has multiple of form $100\dots01$

elementary-number-theory

asked May 12, 2018 at 11:42

4 votes

5 answers

92 views

Calculate $\sum\limits_{k=0}^{20}(-1)^k\binom{k+2}2$ without calculating each term separately

combinatorics binomial-coefficients combinations

asked May 8, 2018 at 15:40

4 votes

1 answer

93 views

Finding minimum value of $\sum a_ib_i$

inequality

asked May 3, 2018 at 7:58

4 votes

1 answer

32 views

Infinite product with non homogenous recurrence relation

sequences-and-series infinite-product

asked Apr 23, 2018 at 16:19

3 votes

4 answers

76 views

Prove $n$ is prime. (Fermat's little theorem probably)

elementary-number-theory prime-numbers

asked Apr 25, 2018 at 12:48

3 votes

1 answer

118 views

Computing Minima for degree 8 polynomial [duplicate]

polynomials maxima-minima

asked Apr 12, 2018 at 11:30

3 votes

2 answers

71 views

Ignoring $\frac1n$ in Riemann Sum

integration riemann-integration

asked Apr 29, 2018 at 8:50

3 votes

3 answers

165 views

Trigonometric limit mistake

limits limits-without-lhopital

asked Jan 4, 2018 at 14:28

3 votes

2 answers

57 views

Mistake in converting Riemann Sum

integration summation riemann-sum

asked Feb 14, 2018 at 17:05

3 votes

0 answers

281 views

Draw a perpendicular to diameter with only a straight edge

geometry

asked May 11, 2018 at 12:11

3 votes

4 answers

220 views

Proving $f'(0)=0$ if $\lim_{x\to0}f(x)/x^2$ exists and is finite

limits limits-without-lhopital

asked May 3, 2018 at 6:29

3 votes

3 answers

72 views

Proving there exists $k$ such that $p(n)p(n+1)=p(k)$

polynomials quadratics

asked May 29, 2018 at 8:37

3 votes

3 answers

94 views

Proving $k^k>(k+1)^{k-1}$

inequality induction

asked Jun 7, 2018 at 14:27

3 votes

1 answer

95 views

possibly found a "counterexample" to a multilinear algebra problem

multilinear-algebra

asked May 24, 2019 at 17:41

3 votes

0 answers

37 views

Non tangent through conic passes through two points

conic-sections

asked Aug 20, 2019 at 18:12

3 votes

1 answer

117 views

Trying to understand a solution to Project Euler #2

combinatorics discrete-mathematics

asked Mar 16, 2020 at 7:29

3 votes

1 answer

44 views

$y$ is a transient state then $\rho_{xy} \le \rho_{yy}$

stochastic-processes markov-chains

asked Sep 28, 2020 at 10:15

2 votes

1 answer

140 views

General Case of Weyl's Equidistribution Theorem

ergodic-theory equidistribution

asked Jun 8, 2020 at 19:31

2 votes

1 answer

40 views

Avg Area of triangle

integration

asked Jun 15, 2018 at 7:44

2 votes

1 answer

66 views

Number of Unique Necklaces upto Rotation AND Reflection

combinatorics

asked Dec 21, 2019 at 14:09

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131 Questions

Calculating a limit with trigonometric and quadratic function

Binomial summation $\sum\binom nkk^2$

Integral part of sum of huge powers

Number of solutions to $1/x+1/y=1/1995$ in $\mathbb N^2$ [duplicate]

Multiplying congruences.

Find positive $K$ such that $\int_0^\infty\left(\frac{1}{\sqrt{2x^2+1}}-\frac{K}{x+1}\right)dx$ converges

Minimum number of lattice points required so that there exists three points whose mean is also a lattice point

Prove that $\lim_{x\to\infty}\sum_{n=1}^{\infty}\frac x{n^2+x^2}$ exists and is positive

Given $G,H_1,H_2$ finite abelian groups and $G\times H_1 \cong G\times H_2$ then $H_1 \cong H_2$ [duplicate]

Is $\int_{-2}^3\frac{1}{x^3}dx=\frac5{72}$ or not defined?

Every prime number has multiple of form $100\dots01$

Calculate $\sum\limits_{k=0}^{20}(-1)^k\binom{k+2}2$ without calculating each term separately

Finding minimum value of $\sum a_ib_i$

Infinite product with non homogenous recurrence relation

Prove $n$ is prime. (Fermat's little theorem probably)

Computing Minima for degree 8 polynomial [duplicate]

Ignoring $\frac1n$ in Riemann Sum

Trigonometric limit mistake

Mistake in converting Riemann Sum

Draw a perpendicular to diameter with only a straight edge

Proving $f'(0)=0$ if $\lim_{x\to0}f(x)/x^2$ exists and is finite

Proving there exists $k$ such that $p(n)p(n+1)=p(k)$

Proving $k^k>(k+1)^{k-1}$

possibly found a "counterexample" to a multilinear algebra problem

Non tangent through conic passes through two points

Trying to understand a solution to Project Euler #2

$y$ is a transient state then $\rho_{xy} \le \rho_{yy}$

General Case of Weyl's Equidistribution Theorem

Avg Area of triangle

Number of Unique Necklaces upto Rotation AND Reflection