List questions from taylor-expansion

Published on 08 Apr 2026 - 4:23

129

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Study of a parametric curve

Published on 26 Mar 2026 - 13:50

300

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Find the Taylor series about 0 for a function $p(x)$

Published on 22 Mar 2020 - 14:01

76

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Find the Taylor polynomial for a function $f(x) = (1+x^2)^{1/3}$

Published on 22 Mar 2020 - 17:59

45

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Taylor polynomial of a multivariable function and remainder

Published on 29 Mar 2026 - 20:55

4k

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Deriving the Maclaurin Series for sin(x)/x

Published on 25 Mar 2026 - 3:00

173

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Show $\lim\limits_{\lambda\to\infty} e^{\lambda e^{\frac{t}{\sqrt{\lambda}}} - t\sqrt{\lambda} - \lambda} = e^{\frac{t^2}{2}}$.

Published on 29 Mar 2026 - 8:13

46

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Find sup, inf qlnq+plnp

Published on 30 Mar 2026 - 4:00

2.1k

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Misunderstanding the Taylor Remainder Theorem

Published on 25 Mar 2020 - 2:01

63

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limit with Taylor expansion

Published on 25 Mar 2020 - 9:39

28

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Taylor series expansion $ (1-\varepsilon)^{-(\kappa-1)/\kappa}$

Published on 25 Mar 2020 - 19:57

103

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Showing that a second degree polynomial is equal to the second order Taylor polynomial of a function

Published on 25 Mar 2020 - 21:43

132

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Convergence of $\sum ( 1 - \frac{2}{\sqrt{n}} )^n$

Published on 26 Mar 2020 - 11:07

21

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Prove for $x\ge 0,\log(1+x)=\sum_{i=1}^{n}\frac{(-1)^{n+1}}{i}x^{i}+\frac{(-1)^n}{n+1}z^{n+1}$ for some $z\lt x$.

Published on 26 Mar 2020 - 12:41

53

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Proof for the series $\ln{x} = \sum_{k=1}^\infty\frac1k\left(\frac{x-1}{x}\right)^k,\ \forall x>\frac12 $

Published on 26 Mar 2020 - 15:47

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help understanding a weird phenomenon

Study of a parametric curve

Find the Taylor series about 0 for a function $p(x)$

Find the Taylor polynomial for a function $f(x) = (1+x^2)^{1/3}$

Taylor polynomial of a multivariable function and remainder

Deriving the Maclaurin Series for sin(x)/x

Show $\lim\limits_{\lambda\to\infty} e^{\lambda e^{\frac{t}{\sqrt{\lambda}}} - t\sqrt{\lambda} - \lambda} = e^{\frac{t^2}{2}}$.

Find sup, inf qlnq+plnp

Misunderstanding the Taylor Remainder Theorem

limit with Taylor expansion

Taylor series expansion $ (1-\varepsilon)^{-(\kappa-1)/\kappa}$

Showing that a second degree polynomial is equal to the second order Taylor polynomial of a function

Convergence of $\sum ( 1 - \frac{2}{\sqrt{n}} )^n$

Prove for $x\ge 0,\log(1+x)=\sum_{i=1}^{n}\frac{(-1)^{n+1}}{i}x^{i}+\frac{(-1)^n}{n+1}z^{n+1}$ for some $z\lt x$.

Proof for the series $\ln{x} = \sum_{k=1}^\infty\frac1k\left(\frac{x-1}{x}\right)^k,\ \forall x>\frac12 $

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