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Sameer Baheti

Member for 6 years, 3 months
Last seen more than a month ago

Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

Summary

Reputation

3,239

3.2k
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2021
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Top tag

calculus

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5,000 Rep.

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Answers

View all 137 answers

8

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

Dec 2, 2018

8

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

Jul 22, 2020

6

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

Jul 25, 2020

6

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

Jul 3, 2020

6

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

Jul 7, 2020

Questions

0

$4\times4$ "Cofactor Transpose Matrix" calculation gone wrong!: Appendix A$.1$, $\mathit{\text{Shankar, R; Principles of Quantum Mechanics}}$

Jan 28, 2020

Tags

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calculus

49

Score

20

posts

real-analysis

35

Score

12

posts

sequences-and-series

24

Score

10

posts

trigonometry

22

Score

13

posts

integration

21

Score

13

posts

Reputation

+10

How do I evaluate $\lim_{n\to\infty} \,\sum_{k=1}^n\left(\frac{k}{n^2}\right)^{\frac{k}{n^2}+1}$?

+10

Taylor Series expansion of a function around a point but what point

+10

Is the following true $\frac{\int_0^{4\pi}e^x(\sin^6 ax + \cos^4 ax)\,dx}{\int_0^{\pi}e^x(\sin^6 ax + \cos^4 ax)\,dx}=\frac{e^{4\pi}-1}{e^{\pi}-1}$?

+10

Prove that $\int_0^{\frac{n\pi}{4}} \frac{1}{3\sin^4(x) + 3\cos^4(x) -1} dx = \frac{n\pi}{4} $

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