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15
61
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$\sum_{k=1}^{k=\infty} \frac{z^{k+x}}{k+x}$ = what?

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#taylor-expansion #geometric-series
75
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Upper bound on $c \cdot e^x + e^{-cx}$

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#inequality #taylor-expansion #exponential-function
70
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Determine if a series converges, cosine, Taylor

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#sequences-and-series #convergence-divergence #taylor-expansion
2.1k
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Hessian matrix in cylindrical coordinate basis

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#differential-geometry #taylor-expansion #polar-coordinates #hessian-matrix
115
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$1/y -\log y = x $, asymptotically

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#analysis #logarithms #asymptotics #taylor-expansion #functional-equations
41
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Bounding error using Taylor Polynomials

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#calculus #taylor-expansion
73
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Error approximation for Taylor polynomials

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#calculus #proof-verification #taylor-expansion
37
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How to proof this equation, if $f \in C^1(\mathbb R^2)$?

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#multivariable-calculus #taylor-expansion
669
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Find the taylor series at $z=3$ of $f(z)=\frac{z(z-3)}{(z-1)}$

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#power-series #taylor-expansion #rational-functions
125
Views

Asymptotic equivalence for a matrix inverse depending on a time parameter

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#matrices #taylor-expansion #matrix-calculus #differential
259
Views

Simplification of $\prod\limits_{i=1}^{n}{\sin(it)}$

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#trigonometry #complex-numbers #taylor-expansion #products
111
Views

Estimating the quantity

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#real-analysis #calculus #taylor-expansion #harmonic-numbers
236
Views

Possible for $e^{\log\left(1+x\right)}=1+x$ in Taylor expansion?

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#logarithms #taylor-expansion #exponential-function
27
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Help with Power series discussion

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#taylor-expansion
46
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How could I show the following "fact" about exponential series?

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#inequality #taylor-expansion #moment-generating-functions

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