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Mar
27
revised Prove ${a^2+ac-c^2=b^2+bd-d^2}$ and $a > b > c > d \implies ab + cd$ is not prime
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Mar
26
revised References in English about Dirichlet's condition, $\Delta$ and $\nabla$
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Mar
26
revised $\lim_{n \rightarrow \infty} \sqrt{1+\left(\frac1{2n}\right)^n}$
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Mar
26
revised Evaluate $\sum_{n=1}^{\infty}\frac{1}{n^3+3 n^2+2 n}$
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Mar
26
revised Evaluate $\sum_{n=1}^{\infty}\frac{1}{n^3+3 n^2+2 n}$
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Mar
26
revised Find $\sum_{i=1}^\infty\left(\frac 1 {i^2}\sum_{j=1}^if(j,i)\right)$.
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Mar
25
revised $\int \sin(ax) \,\mathrm d x$
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Mar
25
comment Why does tan(t) touch the unit circle at (1,0)?
angle in radians or degrees?
Mar
25
revised $\left(\frac{a^2+d^2}{a+d}\right)^3+\left(\frac{b^2+c^2}{b+c}\right)^3\geq\left(\frac{a+b}{2}\right)^3+\left(\frac{c+d}{2}\right)^3$
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Mar
25
revised $\frac{a^2+b^2+c^2}{a^5+b^5+c^5}+\cdots+\frac{d^2+a^2+b^2}{d ^5+a^5+b^5}\le\frac{a+b+c+d}{abcd}$
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Mar
25
revised $\frac{a}{\sqrt{a+b}}+\frac{b}{\sqrt{b+c}}+\frac{c}{\sqrt{c+a}}\geq \frac{3}{\sqrt{2}}$
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Mar
25
revised $\sum_{i=1}^{n} (3i + 2n)$
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Mar
25
revised $\lim _{n \rightarrow \infty }a_{n}=\sqrt{a_{n-2}a_{n-1}}$ , $a_1=1, a_2=2$
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Mar
25
revised $\iiint_WfdV=\int_{A}^{B}\int_{C}^{D}\int_{E}^{F} d\rho d\varphi d\theta$
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Mar
25
revised $\lim _{x\rightarrow\infty} \left(\sqrt{(1+ab)(1+ab+(1-a)cx^{-d})}-\sqrt{ab(ab+(1-a)cx^{-d})}\right)^{-x}$
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Mar
25
revised $\lim_{n\rightarrow \infty} (n+1)\cdot x^{n\cdot n!} < 1$
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Mar
25
revised Is taking limits an operator?
added 1 characters in body
Mar
25
answered Is taking limits an operator?
Mar
24
comment Show that if $1+\frac {1}{2}+\frac{1}{3}+\cdots +\frac {1}{p-1}=\frac {a}{b}$then a is divisible by $p^2$
@AnindyaGhatak : never mind, thanks to this duplicate question now I know about wolstenholme's theorem. This question should be left as an alternative pointer to proof of wolstenholme's theorem. +1 from me.
Mar
24
revised Show that if $1+\frac {1}{2}+\frac{1}{3}+\cdots +\frac {1}{p-1}=\frac {a}{b}$then a is divisible by $p^2$
added 161 characters in body; edited title