List questions from taylor-expansion

Published on 30 Jul 2014 - 20:57

86

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PDE and Taylor's formula

Published on 26 Mar 2026 - 2:53

43

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Showing uniform continuity of function giving radius of convergence

Published on 30 Jul 2014 - 22:15

419

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Showing Taylor Series for $f(x) = e^{-x^2}$ converges to $f$

Published on 30 Jul 2014 - 22:33

68

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Two-dimensional Taylor linearisation

Published on 31 Jul 2014 - 11:28

538

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How many terms of the Taylor expansion should I develop?

Published on 31 Jul 2014 - 17:06

2.3k

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Approximation for lower incomplete gamma function

Published on 25 Mar 2026 - 7:49

149

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Relationship between $\sum\limits_{n=0}^\infty \frac{a_n x^n}{n!}$ and $\sum\limits_{n=0}^\infty \frac{a_n^2 x^n}{n!}$

Published on 30 Mar 2026 - 16:06

3.9k

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Taylor series and Lagrange's remainder f(x)=$e^x$

Published on 04 Aug 2014 - 15:37

1k

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Show that the approximation to $f$'($x_0$) has discretization error $O$($h^2$)

Published on 29 Mar 2026 - 17:24

77

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Multplication of series

Published on 05 Aug 2014 - 14:23

77.2k

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Can someone explain in general what a central difference formula is and what it is used for?

Published on 29 Mar 2026 - 15:59

744

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Evaluate a limit using Taylor series

Published on 07 Aug 2014 - 9:53

293

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Solution of $d^2u/dx^2 + u/A = 0 \ (\text{or } \ C),$ with conditions

Published on 29 Mar 2026 - 3:53

81

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Show $\forall x>0:\ln(1+x) > x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4}$

Published on 08 Aug 2014 - 13:20

List Question

Taylor Series Theorem

PDE and Taylor's formula

Showing uniform continuity of function giving radius of convergence

Showing Taylor Series for $f(x) = e^{-x^2}$ converges to $f$

Two-dimensional Taylor linearisation

How many terms of the Taylor expansion should I develop?

Approximation for lower incomplete gamma function

Relationship between $\sum\limits_{n=0}^\infty \frac{a_n x^n}{n!}$ and $\sum\limits_{n=0}^\infty \frac{a_n^2 x^n}{n!}$

Taylor series and Lagrange's remainder f(x)=$e^x$

Show that the approximation to $f$'($x_0$) has discretization error $O$($h^2$)

Multplication of series

Can someone explain in general what a central difference formula is and what it is used for?

Evaluate a limit using Taylor series

Solution of $d^2u/dx^2 + u/A = 0 \ (\text{or } \ C),$ with conditions

Show $\forall x>0:\ln(1+x) > x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4}$

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