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Sameer Baheti

Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

Imagination is more important than knowledge. Knowledge is limited. Imagination encircles the world.

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Top Answers

Proving the convergence of the sequence defined by $x_1=3$ and $x_{n+1}=\frac{1}{4-x_n}$

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How to show that $ \int_0^1\frac{\sin(\frac{1}{x})}{x^2}dx$ diverges?

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How to prove that $\sum_{k=0}^n{(-1)^k{4n-2k\choose 2n}{2n\choose k}}=2^{2n}$?

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Help with the last step in solving $\lim_{x\to0}\frac{(1+\sin x +\sin^2 x)^{1/x}-(1+\sin x)^{1/x}}x$

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Evaluate $\int \frac{2-x^3}{(1+x^3)^{3/2}} dx$

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EMF induced due to moving rod in magnetic field

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AM/GM inequalities

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How do I find the indefinite integral for $\int \frac{6}{2x-x^2}dx$?

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Prove that ${\left(\frac{x}{y}\right)}^y\le{\left(\frac{x+1}{y+1}\right)}^{y+1}$, where $x,y\in\mathbb R^+$.

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