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Multivariable Taylor polynomial when $f(x,y)=xe^{-xy^2}$

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#multivariable-calculus #proof-verification #taylor-expansion
52
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Who is known before : Asymptotic expansion or factorial notion?

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#asymptotics #taylor-expansion #factorial #math-history
579
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Value of $\log_e{1.2}$ correct to $7$ decimal places

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#taylor-expansion #approximation #truncation-error
505
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Perturbative expansion of an expression involving the matrix square root

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#linear-algebra #matrices #taylor-expansion #matrix-calculus #perturbation-theory
101
Views

Rate of Convergence of Function F(x) = f(x)/f′(x) using Newtons Method

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#convergence-divergence #numerical-methods #taylor-expansion #rate-of-convergence #newton-series
188
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Converting a taylor series with complex numbers to sigma notation: $x + (1+x^2)^(1/2)$

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#sequences-and-series #convergence-divergence #complex-numbers #power-series #taylor-expansion
186
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6th Degree Polynomial and Chebyshev minmax

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#polynomials #taylor-expansion #chebyshev-polynomials #euler-maclaurin
74
Views

Showing that one limit converges faster to $f'(x)$ than another

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#calculus #limits #convergence-divergence #numerical-methods #taylor-expansion
475
Views

Finding the derivative of a function using its series expansion

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#calculus #derivatives #taylor-expansion
135
Views

Calculate the sum $\sum_{n=1}^\infty \frac{2^nx^n}{n}$

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#real-analysis #convergence-divergence #logarithms #taylor-expansion
556
Views

Why Taylor series for $\sin$ about 0 does not converges uniformly to $\sin$ on $\mathbb{R}$?

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#real-analysis #taylor-expansion #uniform-convergence
176
Views

Calculate $\lim_{x \rightarrow 0^+} \frac{\arctan (\log (1+\sqrt x)) \sin^3(x^{3/4})}{(e^{\tan(x)}-1)(1-\sin^2(x))}$

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#calculus #limits #trigonometry #taylor-expansion #wolfram-alpha
898
Views

Multivariate Taylor theorem with small o notation (Not continuous, only differentiable)

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#multivariable-calculus #taylor-expansion
57
Views

Taylor expand $f(x,y)=\sqrt{1+x+y}$ around $(1,0).$

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#multivariable-calculus #taylor-expansion
30
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Characterization of positive McLauren series?

Published on
#real-analysis #sequences-and-series #taylor-expansion

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