User stuart - Mathematics Stack Exchange

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	296 reputation	bio	website		visits	member for	2 years
25 badges		location			seen	Nov 28 '12 at 17:32

148

270

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9

answers

295

kviews

Is this Batman equation for real?

jun 2 '12 at 8:38 copper.hat 28.5k

25

53

votes

3

answers

2

kviews

Is there an integral that proves $\pi > 333/106$?

calculus real-analysis integral approximation pi

feb 25 at 15:59 Michael Hardy 48.3k

26

39

votes

4

answers

1

kviews

Showing that $\int\limits_{-a}^a \frac{f(x)}{1+e^{x}} \mathrm dx = \int\limits_0^a f(x) \mathrm dx$, when $f$ is even

homework calculus real-analysis integration

oct 21 at 3:06 user17762 76.4k

13

31

votes

8

answers

6

kviews

What is the meaning of the third derivative of a function at a point

calculus geometry physics education

mar 28 at 3:36 Brady Trainor 597

7

29

votes

2

answers

2

kviews

$ \lim_{n \to \infty }\sin \sin …\sin n$

calculus

apr 25 at 13:49 Did 103k

14

23

votes

5

answers

1

kviews

Limits: How to evaluate $\lim\limits_{x\rightarrow \infty}\sqrt[n]{x^{n}+a_{n-1}x^{n-1}+\cdots+a_{0}}-x$

calculus limit faq

aug 29 '11 at 18:55 J. M. 38.9k

7

20

votes

4

answers

772

views

Is the integral $\int_0^\infty \frac{\mathrm{d} x}{(1+x^2)(1+x^a)}$ equal for all $a \neq 0$?

calculus integral definite-integral

dec 6 '11 at 4:44 Michael Hardy 48.3k

8

18

votes

3

answers

1

kviews

Find the limit $\lim \limits_{n\to \infty }\cos \left(\pi\sqrt{n^{2}-n} \right)$

calculus limit

jun 20 '12 at 15:43 Chris's wise sister 11.5k

14

17

votes

8

answers

1

kviews

How can I evaluate $\sum_{n=0}^\infty (n+1)x^n$

homework sequences-and-series

apr 24 at 18:56 glebovg 2,303

4

16

votes

4

answers

467

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Is there a way to prove $\int {x^n e^x dx} = e^x \sum_{k = 0}^n {( - 1)^k \frac{{n!}}{{(n-k)!}}x^{n-k} } + C$ combinatorially?

calculus combinatorics integral

jun 22 '11 at 19:18 Mike Spivey 25.9k

9

16

votes

5

answers

2

kviews

How to prove that: $\tan(3\pi/11) + 4\sin(2\pi/11) = \sqrt{11}$

trigonometry

mar 22 '12 at 22:07 spanferkel 81

2

14

votes

3

answers

721

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A “fast” way for computing $ \prod \limits_{i=1}^{45}(1+\tan i^\circ) $?

trigonometry products

feb 15 at 6:37 lab bhattacharjee 29k

8

14

votes

4

answers

1

kviews

How to prove periodicity of $\sin(x)$ or $\cos(x)$ starting from the Taylor series expansion?

calculus real-analysis

nov 9 '11 at 4:32 Srivatsan 15.6k

7

13

votes

4

answers

1

kviews

How to prove those “curious identities”?

trigonometry

oct 6 '11 at 4:06 robjohn♦ 60k

6

13

votes

6

answers

1

kviews

Prove $\sin(\pi/2)=1$ using Taylor series

calculus

jun 30 '11 at 21:45 Andrew 1,643

8

12

votes

6

answers

2

kviews

How to prove $\cos \frac{2\pi }{5}=\frac{-1+\sqrt{5}}{4}$?

geometry trigonometry euclidean-geometry

sep 26 at 15:54 minthao_2011 560

4

12

votes

3

answers

844

views

Proving Stewart's theorem without trig

geometry triangle

dec 15 '11 at 5:33 J. M. 38.9k

7

12

votes

7

answers

2

kviews

Why Circle encloses largest Area?

calculus geometry analysis calculus-of-variations

oct 12 '11 at 1:57 Pierre-Yves Gaillard 8,487

2

11

votes

8

answers

930

views

How to find the function $f$ given $f(f(x)) = 2x$?

calculus functional-equations

sep 21 '11 at 12:52 krlmlr 266

9

11

votes

3

answers

620

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Calculate $\lim_{n \to \infty} \sqrt[n]{|\sin n|}$

homework calculus diophantine-approximation

feb 4 at 10:16 user60927 1

7

11

votes

4

answers

760

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Proving $\frac{1}{\sin^{2}\frac{\pi}{14}} + \frac{1}{\sin^{2}\frac{3\pi}{14}} + \frac{1}{\sin^{2}\frac{5\pi}{14}} = 24$

analysis trigonometry

feb 27 at 15:52 lab bhattacharjee 29k

3

10

votes

6

answers

588

views

Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$

calculus sequences-and-series homework

nov 13 '11 at 16:03 Quixotic 7,930

3

10

votes

2

answers

690

views

Calculus : A hard limit to infinity

calculus limit

aug 29 '11 at 0:29 Américo Tavares 20.7k

2

10

votes

1

answer

254

views

Trigonometric identity

reference-request trigonometry

aug 24 '11 at 22:23 zyx 11.1k

2

10

votes

5

answers

551

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How to prove $\lim_{n \to \infty} \sqrt{n}(\sqrt[n]{n} - 1) = 0$?

calculus limit

oct 17 '11 at 19:17 Srivatsan 15.6k

2

8

votes

2

answers

282

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How can I calculate $\int_0^{\pi/2}\frac{\sin^3 t}{\sin^3 t+\cos^3 t}dt$?

calculus reference-request integral

mar 18 '12 at 6:27 Jack 7,521

6

8

votes

7

answers

858

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Can this standard calculus result be explained “intuitively”

calculus intuition teaching

mar 27 at 10:51 azimut 5,503

4

8

votes

4

answers

469

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Evaluating $\lim_{x\to \infty}\sqrt[6]{x^{6}+x^{5}}-\sqrt[6]{x^{6}-x^{5}}$

calculus limit

apr 5 at 23:46 Américo Tavares 20.7k

1

8

votes

4

answers

226

views

Help solving a limit

calculus limit

jul 16 '11 at 2:30 Aryabhata 47.6k

3

7

votes

7

answers

422

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Trigonometric equality: $\frac{1 + \sin A - \cos A}{1 + \sin A + \cos A} = \tan \frac{A}{2}$

homework algebra-precalculus trigonometry

sep 7 '11 at 10:12 Américo Tavares 20.7k

stuart

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