Question

When $a\to \infty$, $\sqrt{a^2+4}$ behaves as $a+\frac{2}{a}$?

score 110 · Answer 1 · 2026-03-30 00:58:10

110

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When $a\to \infty$, $\sqrt{a^2+4}$ behaves as $a+\frac{2}{a}$?

Published on 30 Mar 2026 - 0:58

score 514 · Answer 2 · 2014-10-15 23:00:20

514

Views

Finding a Taylor Series representation of $f(x)=\ln(\frac{1+2x}{1-2x})$ centered at $0$.

Published on 15 Oct 2014 - 23:00

score 470 · Answer 3 · 2014-10-16 04:27:10

470

Views

Infinite Series -: $\psi(s)=\psi(0)+\psi_1(0)s+\psi_2(0)\frac{s^2}{2!}+\psi_3(0)\frac{s^3}{3!}+.+.+ $.

Published on 16 Oct 2014 - 4:27

score 340 · Answer 4 · 2014-10-16 07:35:56

340

Views

Importance of the first term in a Taylor series

Published on 16 Oct 2014 - 7:35

score 66.8k · Answer 5 · 2026-03-30 00:17:59

66.8k

Views

Is there an approximation to the natural log function at large values?

Published on 30 Mar 2026 - 0:17

score 45 · Answer 6 · 2014-10-17 18:28:52

45

Views

Cannot expand $\sin(2x^2-4x+3)$ at $x_0 = 1$

Published on 17 Oct 2014 - 18:28

score 505 · Answer 7 · 2014-10-18 12:21:34

505

Views

Expected value of $\sin^2(0.01n)$ for discrete $n$

Published on 18 Oct 2014 - 12:21

score 28 · Answer 8 · 2026-03-29 08:56:08

28

Views

Singularity and residue in z = 0

Published on 29 Mar 2026 - 8:56

score 1.9k · Answer 9 · 2014-10-19 04:47:16

1.9k

Views

Why are Maclaurin series useful if we can only use them for such a small range of numbers?

Published on 19 Oct 2014 - 4:47

score 31 · Answer 10 · 2014-10-19 12:51:51

31

Views

If I have an infinite series, how do I know that the digits I calculated are rigth?

Published on 19 Oct 2014 - 12:51

score 82 · Answer 11 · 2014-10-20 18:17:34

82

Views

Upper bound on derivatives of very high order?

Published on 20 Oct 2014 - 18:17

score 64 · Answer 12 · 2014-10-21 06:56:15

64

Views

Will this method find the taylor expansion of ANY function $f(x)$?

Published on 21 Oct 2014 - 6:56

score 289 · Answer 13 · 2026-03-30 05:13:28

289

Views

How do I solve for the elements of the partial derivative of a Hessian matrix?

Published on 30 Mar 2026 - 5:13

score 35 · Answer 14 · 2014-10-21 15:31:21

35

Views

Is there a mistake in this page on asymptotic expansions?

Published on 21 Oct 2014 - 15:31

score 16.2k · Answer 15 · 2014-10-22 15:33:59

16.2k

Views

Find series expansion of 1/cosx

Published on 22 Oct 2014 - 15:33

List Question

When $a\to \infty$, $\sqrt{a^2+4}$ behaves as $a+\frac{2}{a}$?

Finding a Taylor Series representation of $f(x)=\ln(\frac{1+2x}{1-2x})$ centered at $0$.

Infinite Series -: $\psi(s)=\psi(0)+\psi_1(0)s+\psi_2(0)\frac{s^2}{2!}+\psi_3(0)\frac{s^3}{3!}+.+.+ $.

Importance of the first term in a Taylor series

Is there an approximation to the natural log function at large values?

Cannot expand $\sin(2x^2-4x+3)$ at $x_0 = 1$

Expected value of $\sin^2(0.01n)$ for discrete $n$

Singularity and residue in z = 0

Why are Maclaurin series useful if we can only use them for such a small range of numbers?

If I have an infinite series, how do I know that the digits I calculated are rigth?

Upper bound on derivatives of very high order?

Will this method find the taylor expansion of ANY function $f(x)$?

How do I solve for the elements of the partial derivative of a Hessian matrix?

Is there a mistake in this page on asymptotic expansions?

Find series expansion of 1/cosx

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