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shangq_tou
  • Member for 3 years, 3 months
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7 votes
1 answer
151 views

limit of two entirely different sequences

6 votes
2 answers
208 views

$\int _0^1f^2\left(x\right)dx-2\int _0^{\sqrt{3}-1}\:\left(x+1\right)f\left(x\right)dx\:+1=0$

5 votes
1 answer
177 views

$c_n=a^n-b^n$, $S=\{c_1,c_2,...\}$ is finite then $0 \in S$

5 votes
3 answers
167 views

Evaluate $\lim_{n\to\infty}\int_1^n\frac{\ln x}{c_n+x\ln x}\,dx$

5 votes
2 answers
125 views

Let $f_n$ be a$f_{n+1}\left(x\right)=\frac{1}{x}\int _0^xf_n\left(t\right)dt\:$

4 votes
3 answers
127 views

matrices such that $A^2B+BA^2=2ABA$

4 votes
5 answers
106 views

A quite difficult limit: $\lim _{x\to 0}\frac{\exp(x^2)-\cos x-x\sin x}{\sinh^2x}$

4 votes
2 answers
151 views

Area under the function $f$

3 votes
2 answers
394 views

binary matrix and product between a matrix and its transpose

3 votes
1 answer
83 views

$f(x)=a_1\sin x+a_2\sin 2x+a_3\sin 3x+...+a_n\sin nx$

2 votes
1 answer
130 views

prove that $x^6=(ax)^3$ implies $x^3=e,\: \forall x\in G$

2 votes
1 answer
76 views

limit of sums of integer parts

2 votes
2 answers
99 views

Second Order Differential Equations $ay''+by'+cy=0$, without complex numbers

2 votes
2 answers
162 views

$\lim_{n\to \infty}\left( \int_0^1 (Q(x))^ndx\right)^{\frac{1}{n}}$

2 votes
1 answer
253 views

elements of order 2 in a ring

2 votes
0 answers
93 views

Find the total number of roots of a certain polynomial [closed]

1 vote
1 answer
146 views

beta and gamma helping solve an integral

1 vote
2 answers
226 views

Ring with three idempotents satisfying $\alpha+ \beta+ \gamma=0$. Prove that $\alpha=\beta= \gamma$.

1 vote
1 answer
103 views

$\int _a^bQ(x)\cdot w(x)dx=0$

1 vote
1 answer
366 views

About char and $x+x=0$

1 vote
2 answers
119 views

the composition of two functions that have primitives has primitives

1 vote
2 answers
149 views

Prove that , if $an^4+bn^2+c $ is a perfect square $\forall n \in\mathbb Z$, then $a=x^2, b=2xy, c=y^2$

1 vote
1 answer
45 views

Is this true for integers matrices $A=XA’Y$

1 vote
2 answers
62 views

dense set on $[0,1]$ and more...

1 vote
1 answer
146 views

local extrema of a Continuous function

1 vote
1 answer
67 views

$A^{2m+1}=A+I_n$ then $\det(A)>0$

1 vote
0 answers
66 views

$x_{n+1}=\sum_{k=1}^{n-1}a_{(n,k)}x_k $, $S=\{x_1,x_2,...\}$ is finite then $0 \in S$

0 votes
1 answer
88 views

hard-sequence problem and limits

0 votes
1 answer
96 views

Convergent sequence that satisfy $y_{n+1}=3y_n^2-3y_n+1$

0 votes
1 answer
71 views

Finding the determinant of a $n\times n$ matrix of rational functions