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Rohan Shinde's user avatar
Rohan Shinde's user avatar
Rohan Shinde
  • Member for 6 years, 10 months
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Undergrad at Indian Statistical Institute, Bangalore interested in analytical number theory and complex analysis.

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Infinite sum of reciprocals of squares of lengths of tangents from origin to the curve $y=\sin x$
Sep 25, 2018
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19
Evaluate $\lim_{n\to \infty} \left( \sum_{r=0}^n \frac {2^r}{5^{2^r}+1}\right) $
16
Value of $(\alpha^2+1)(\beta^2+1)(\gamma^2+1)(\delta^2+1)$ if $z^4-2z^3+z^2+z-7=0$ for $z=\alpha$, $\beta$, $\gamma$, $\delta$
15
Find coefficient of $x^{20}$
15
Conjecture:$\int_0^{\pi/2} \left(\frac{\sin(2n+1)x}{\sin x}\right)^\beta dx$ is integer multiple of $\pi/2$,for integer $\beta>2$
13
Interesting limit: $I(n)=\lim_{x \to 0} (e^x-1)^{-n} - \left(\frac{x}{1!}+\frac {x^2}{2!}+\dotsb+\frac{x^n}{n!}\right)^{-n}$