rajkamalmath

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I am a Lover of Mathematics...

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13 Questions

views newest activity votes

8

9

votes

2

answers

397

views

How to evaluate the series $1+\frac34+\frac{3\cdot5}{4\cdot8}+\frac{3\cdot5\cdot7}{4\cdot8\cdot12}+\cdots$

homework sequences-and-series

dec 28 at 9:21 user17762 76.4k

1

5

votes

3

answers

158

views

Find the value of the function at the given point.

analysis derivatives functional-equations

apr 4 at 12:19 julien 22.9k

1

-2

votes

4

answers

155

views

Evaluate $\lim_{n\to\infty}\sum_{r=1}^{n}\sin\frac{r\pi}{n}$

real-analysis sequences-and-series analysis

jan 19 at 12:34 Ali Qurbani 95

2

-1

votes

2

answers

137

views

What can you say about these matrices.

linear-algebra

dec 29 at 15:19 user1551 16.7k

-3

votes

2

answers

102

views

Is the series $\sum_{n=1}^{\infty}\frac{(1+\frac{n}{\mathrm{e}})^n}{n\mathrm{!}}$ convergent?

real-analysis sequences-and-series

jan 29 at 8:18 rajkamalmath 185

2

1

vote

1

answer

96

views

Evaluate $\lim_{n\to\infty}n\sin(2\pi \mathrm en!)$

real-analysis analysis

jan 18 at 9:55 Per Manne 4,429

3

votes

3

answers

87

views

Evaluate the limit $\lim_{n\to\infty}\left[n+{n^2}\log{\frac{n}{n+1}}\right]$

real-analysis sequences-and-series

jan 20 at 21:01 Chris's wise sister 11.5k

1

1

vote

4

answers

80

views

check the convergence of the integral $\int_{0}^{\infty}\frac{1}{x\log x}\,dx$

real-analysis convergence improper-integrals

apr 21 at 18:49 rajkamalmath 185

0

votes

2

answers

71

views

check the convergence of the improper integral$\int_{0}^{1}\frac{x^{p-1}+x^{-p}}{1+x}\,dx$

real-analysis integration convergence improper-integrals

apr 20 at 19:26 DonAntonio 46.9k

1

vote

1

answer

62

views

where is wrong in the sum of series $\frac{1}{3}+\frac{1}{4}\cdot\frac{1}{2!}+\frac{1}{5}\cdot\frac{1}{3!}+\cdots$

real-analysis sequences-and-series

dec 28 at 17:10 user32240 4,931

2

votes

1

answer

54

views

find the series $\frac{z}{\mathrm{e}^z-1}$

sequences-and-series complex-analysis

apr 11 at 7:26 Brian M. Scott 155k

2

votes

2

answers

44

views

Show that $\lim_{a\to{0}}\frac{{\pi}a\ \coth{\mathrm{{\pi}a}-1}}{2a^2}=\frac{\pi^2}{6}$

real-analysis

apr 10 at 21:01 Frank 146

0

votes

0

answers

31

views

A Problem on Groups of order 60. [duplicate]

group-theory

jan 18 at 10:53 Gerry Myerson 85.9k

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