User rehband

0 votes

convergence of $ \int_0^{2\pi} \frac{\cos x}{x}\, dx$

answered Nov 13, 2014 at 17:16

1 vote

Limit with logarithms (no l'Hospital)

answered Oct 13, 2014 at 8:22

2 votes

Accepted

Evaluating a limit as $x \to -\infty$ of a power of a rational function

answered Oct 13, 2014 at 7:59

1 vote

Evaluate $\lim_{x\ \to\ \infty}\left(\,\sqrt{\,x^{4} + ax^{2} + 1\,}\, - \,\sqrt{\,x^{4} + bx^{2} +1\,}\,\right)$

answered Sep 23, 2014 at 5:51

3 votes

Computing A Multivariable Limit: $\lim_{(x,y) \to (0,0)}\frac{2x^2y}{x^4 + y^2}.$

answered Sep 16, 2014 at 18:14

1 vote

Evaluating $\lim_{x \to 0} \frac{(1 + \sin x + \sin^2 x)^{1/x} - (1 + \sin x)^{1/x}}{x}$

answered Sep 16, 2014 at 13:30

1 vote

Accepted

How to evaluate $\lim_{x\to 1^-} \, e^{\frac{3}{1-x}}$?

answered Sep 13, 2014 at 12:23

3 votes

Riemann sum of log function

answered Sep 3, 2014 at 12:17

0 votes

Accepted

computing $\lim_{x \to 0} \frac{\sin{2x}+\arctan{3x}+3x^2}{\ln{\left(1+3x+\sin^{2}{x}\right)}+x\cdot e^x}$

answered Sep 2, 2014 at 16:50

1 vote

Accepted

Proof of absolute convergence

answered Aug 28, 2014 at 19:27

0 votes

radius of convergence for $\sum_{n=1}^{\infty} \frac{z^{n} n^{n}}{n!}$ and $\sum_{n=1}^{\infty} z^{n!}$

answered Aug 20, 2014 at 15:52

5 votes

Accepted

Test the convergence of a series

answered Aug 20, 2014 at 11:37

5 votes

Alternate Proof for $e^x \ge x+1$

answered Aug 14, 2014 at 8:47

1 vote

Accepted

Understanding a matrix notation

answered Aug 14, 2014 at 3:56

3 votes

Infinite Wilson Prime proof

answered Aug 13, 2014 at 7:00

2 votes

Evaluating a limit using L'Hôpital's rule

answered Aug 8, 2014 at 15:51

1 vote

Finding the convergence radius of $\dfrac{(n!)^k\cdot x^n}{(kn)!}$

answered Aug 5, 2014 at 14:39

2 votes

Trigonometric simplification for limits: $\lim_{x\to 0} \frac{1-\cos^3 x}{x\sin2x}$

answered Aug 5, 2014 at 13:02

0 votes

Limit involving $n$ th root of expression with factorials: $\lim_{n\to\infty}\frac1n\left\{\frac{(2n)!}{n!}\right\}^{\frac{1}{n}}$

answered Aug 5, 2014 at 11:36

1 vote

Dividing by x on two sides of an equation is not always the same equation??

answered Jul 8, 2014 at 17:52

2 votes

A simple limit problem

answered Jul 7, 2014 at 15:56

1 vote

Differential Equation $x^3y' + (2-3x^2)y = x^3$

answered Jul 7, 2014 at 15:07

0 votes

Accepted

Prove that this affine transformation is a translation

answered Jul 5, 2014 at 8:50

0 votes

Compute this radius of convergence

answered Jul 4, 2014 at 5:32

0 votes

Does the series $\sum_{n=1}^\infty\frac{\sin n}{\ln n+\cos n}$ converge?

answered Jun 30, 2014 at 13:48

0 votes

Rotation matrices are similar if and only if their angles add up to 2 pi

answered Jun 20, 2014 at 17:07

1 vote

Prove that this transformation is a reflection

answered Jun 20, 2014 at 15:49

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27 Answers

convergence of $ \int_0^{2\pi} \frac{\cos x}{x}\, dx$

Limit with logarithms (no l'Hospital)

Evaluating a limit as $x \to -\infty$ of a power of a rational function

Evaluate $\lim_{x\ \to\ \infty}\left(\,\sqrt{\,x^{4} + ax^{2} + 1\,}\, - \,\sqrt{\,x^{4} + bx^{2} +1\,}\,\right)$

Computing A Multivariable Limit: $\lim_{(x,y) \to (0,0)}\frac{2x^2y}{x^4 + y^2}.$

Evaluating $\lim_{x \to 0} \frac{(1 + \sin x + \sin^2 x)^{1/x} - (1 + \sin x)^{1/x}}{x}$

How to evaluate $\lim_{x\to 1^-} \, e^{\frac{3}{1-x}}$?

Riemann sum of log function

computing $\lim_{x \to 0} \frac{\sin{2x}+\arctan{3x}+3x^2}{\ln{\left(1+3x+\sin^{2}{x}\right)}+x\cdot e^x}$

Proof of absolute convergence

radius of convergence for $\sum_{n=1}^{\infty} \frac{z^{n} n^{n}}{n!}$ and $\sum_{n=1}^{\infty} z^{n!}$

Test the convergence of a series

Alternate Proof for $e^x \ge x+1$

Understanding a matrix notation

Infinite Wilson Prime proof

Evaluating a limit using L'Hôpital's rule

Finding the convergence radius of $\dfrac{(n!)^k\cdot x^n}{(kn)!}$

Trigonometric simplification for limits: $\lim_{x\to 0} \frac{1-\cos^3 x}{x\sin2x}$

Limit involving $n$ th root of expression with factorials: $\lim_{n\to\infty}\frac1n\left\{\frac{(2n)!}{n!}\right\}^{\frac{1}{n}}$

Dividing by x on two sides of an equation is not always the same equation??

A simple limit problem

Differential Equation $x^3y' + (2-3x^2)y = x^3$

Prove that this affine transformation is a translation

Compute this radius of convergence

Does the series $\sum_{n=1}^\infty\frac{\sin n}{\ln n+\cos n}$ converge?

Rotation matrices are similar if and only if their angles add up to 2 pi

Prove that this transformation is a reflection