Question

Finding the limit $\lim_{x\to\infty} (x^3-x^2+\frac{x}{2})e^\frac{1}{x} -\sqrt{x^6+1}$

score 39 · Answer 1 · 2019-12-08 01:37:55

39

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Finding the limit $\lim_{x\to\infty} (x^3-x^2+\frac{x}{2})e^\frac{1}{x} -\sqrt{x^6+1}$

Published on 08 Dec 2019 - 1:37

score 954 · Answer 2 · 2026-03-31 05:59:29

954

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Estimating the value of e using Taylor series remainder

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score 63 · Answer 3 · 2019-12-09 04:53:06

63

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$\sum_{n=1}^\infty (n^2+n)(x-1)^n$ closed form

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score 81 · Answer 4 · 2019-12-09 09:44:46

81

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Approximating Integrals within an error with Maclaurin Series

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score 1.2k · Answer 5 · 2019-12-09 10:17:20

1.2k

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Taylor series of $\arctan x$ at $x=1$

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score 334 · Answer 6 · 2019-12-09 21:35:16

334

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Taylor series expansion about $x = 3$

Published on 09 Dec 2019 - 21:35

score 284 · Answer 7 · 2019-12-09 23:48:47

284

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interval and radius of convergence of Maclaurin series: $(-1)^{n+1} (|(1-x)/(1+x)|-1)^n)/n$

Published on 09 Dec 2019 - 23:48

score 146 · Answer 8 · 2019-12-10 01:08:19

146

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If u,g and f satisfy this condition, $p_1$ that fit the equation will also be the exact solution of the DE f at point $(v_0+h)$ if $g_pf+g_v=0$

Published on 10 Dec 2019 - 1:08

score 1.2k · Answer 9 · 2019-12-10 11:00:25

1.2k

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Taylor Series of f(x)=exp(x)

Published on 10 Dec 2019 - 11:00

score 1.3k · Answer 10 · 2026-03-26 14:22:34

1.3k

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Power series expansion of $\text{arsinh}(x)$ at $0$

Published on 26 Mar 2026 - 14:22

score 25 · Answer 11 · 2019-12-10 23:15:02

25

Views

Necessary and sufficient conditions for $f(x) \geq g(x)$ over interval from higher-order-derivatives.

Published on 10 Dec 2019 - 23:15

score 48 · Answer 12 · 2026-04-07 00:36:22

48

Views

How do I calculate this limit

Published on 07 Apr 2026 - 0:36

score 225 · Answer 13 · 2019-12-12 04:33:08

225

Views

How to change start point when finding Maclaurin series of $xln(1+x)$?

Published on 12 Dec 2019 - 4:33

score 244 · Answer 14 · 2026-03-29 03:19:12

244

Views

Ideas on how to estimate this parameter integral

Published on 29 Mar 2026 - 3:19

score 48 · Answer 15 · 2026-03-31 05:59:27

48

Views

Approximating functions with Polynomials from Taylor Series

Published on 31 Mar 2026 - 5:59

List Question

Finding the limit $\lim_{x\to\infty} (x^3-x^2+\frac{x}{2})e^\frac{1}{x} -\sqrt{x^6+1}$

Estimating the value of e using Taylor series remainder

$\sum_{n=1}^\infty (n^2+n)(x-1)^n$ closed form

Approximating Integrals within an error with Maclaurin Series

Taylor series of $\arctan x$ at $x=1$

Taylor series expansion about $x = 3$

interval and radius of convergence of Maclaurin series: $(-1)^{n+1} (|(1-x)/(1+x)|-1)^n)/n$

If u,g and f satisfy this condition, $p_1$ that fit the equation will also be the exact solution of the DE f at point $(v_0+h)$ if $g_pf+g_v=0$

Taylor Series of f(x)=exp(x)

Power series expansion of $\text{arsinh}(x)$ at $0$

Necessary and sufficient conditions for $f(x) \geq g(x)$ over interval from higher-order-derivatives.

How do I calculate this limit

How to change start point when finding Maclaurin series of $xln(1+x)$?

Ideas on how to estimate this parameter integral

Approximating functions with Polynomials from Taylor Series

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