Question

verifying the Taylor expansion of ln(1+x) satisfies the properties of logarithm

score 112 · Answer 1 · 2026-04-13 08:18:31

112

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verifying the Taylor expansion of ln(1+x) satisfies the properties of logarithm

Published on 13 Apr 2026 - 8:18

score 49 · Answer 2 · 2026-04-15 19:33:37

49

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Estimate the error if $P_2 = 1-\frac{x^2}{2}$ is used to to estimate the value of $\cos(x)$ with $x<0.1$

Published on 15 Apr 2026 - 19:33

score 82 · Answer 3 · 2026-04-14 16:22:14

82

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Taylor expansion of the gradient: how to use big O notation?

Published on 14 Apr 2026 - 16:22

score 67 · Answer 4 · 2026-04-13 07:08:19

67

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Upper bounds for coefficients in taylor's series

Published on 13 Apr 2026 - 7:08

score 74 · Answer 5 · 2026-04-16 22:49:25

74

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$f(x) = \begin{cases} {1-e^{-x^2} \over x^2} \mathrm{, \ if\ } x \neq 0\ \\ 1, \mathrm{if\ } x =0\end{cases} $ Prove $f$ is analytic on $\mathbb{R}$.

Published on 16 Apr 2026 - 22:49

score 68 · Answer 6 · 2026-04-13 00:42:00

68

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Questions about Binomial series convergence conditions where Binomial series has real-number exponent.

Published on 13 Apr 2026 - 0:42

score 84 · Answer 7 · 2026-04-16 13:09:51

84

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The limit results by using Taylor series of of $\mathrm{csch}^{2}(x)$

Published on 16 Apr 2026 - 13:09

score 128 · Answer 8 · 2026-04-11 21:59:32

128

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Help with Taylor series for proving the approximation of a function

Published on 11 Apr 2026 - 21:59

score 74 · Answer 9 · 2026-04-16 04:33:42

74

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If $x_n \to c$ and and $f(x_i)=f(c)$, then all the derivatives at $a$ vanish

Published on 16 Apr 2026 - 4:33

score 83 · Answer 10 · 2026-04-17 10:29:21

83

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Find $\lim_{x \to 0} \frac{x^6(1-\cos(x^6))}{(x-\sin(x))^6}$

Published on 17 Apr 2026 - 10:29

score 125 · Answer 11 · 2026-04-14 02:35:38

125

Views

Finding the asymptotic of the sequence

Published on 14 Apr 2026 - 2:35

score 51 · Answer 12 · 2026-04-11 01:38:14

51

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Taylor product rule

Published on 11 Apr 2026 - 1:38

score 48 · Answer 13 · 2026-04-16 06:30:07

48

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Why can flat functions be non-constant (intuition)?

Published on 16 Apr 2026 - 6:30

score 110 · Answer 14 · 2026-04-13 22:54:29

110

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Newton's Binomial Theorem

Published on 13 Apr 2026 - 22:54

score 52 · Answer 15 · 2026-04-15 12:31:27

52

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Taylor's inequality giving a large accuracy range

Published on 15 Apr 2026 - 12:31

List Question

verifying the Taylor expansion of ln(1+x) satisfies the properties of logarithm

Estimate the error if $P_2 = 1-\frac{x^2}{2}$ is used to to estimate the value of $\cos(x)$ with $x<0.1$

Taylor expansion of the gradient: how to use big O notation?

Upper bounds for coefficients in taylor's series

$f(x) = \begin{cases} {1-e^{-x^2} \over x^2} \mathrm{, \ if\ } x \neq 0\ \\ 1, \mathrm{if\ } x =0\end{cases} $ Prove $f$ is analytic on $\mathbb{R}$.

Questions about Binomial series convergence conditions where Binomial series has real-number exponent.

The limit results by using Taylor series of of $\mathrm{csch}^{2}(x)$

Help with Taylor series for proving the approximation of a function

If $x_n \to c$ and and $f(x_i)=f(c)$, then all the derivatives at $a$ vanish

Find $\lim_{x \to 0} \frac{x^6(1-\cos(x^6))}{(x-\sin(x))^6}$

Finding the asymptotic of the sequence

Taylor product rule

Why can flat functions be non-constant (intuition)?

Newton's Binomial Theorem

Taylor's inequality giving a large accuracy range

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