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How do I approximate $\sum_{i=2}^b \frac{\csc(i x)}{i}$?

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#sequences-and-series #asymptotics #power-series #taylor-expansion #approximation
70
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Compute $\lim_{(x,y) \to (0,0)} \frac{x^2 - 2\cos(y) + 2}{y^2 - 2\cos(x) + 2}$

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#limits #multivariable-calculus #taylor-expansion
387
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What is the radius of convergence for the Taylor expansion of $\frac{e^x\sin(x)}{x^2+25}$ about $x=0$?

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#sequences-and-series #convergence-divergence #power-series #taylor-expansion
51
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What is the Taylor Expansion of a function

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#taylor-expansion
170
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Proof of an exponential inequality

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#derivatives #inequality #taylor-expansion #exponential-function
36
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Maclaurin series of $\tan(x+x^2)$ to order 3

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#calculus #taylor-expansion
112
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Using Taylor(Maclaurin) expansions at infinity

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#real-analysis #calculus #power-series #taylor-expansion
20
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Error bound for Taylor's Expansion

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#taylor-expansion #upper-lower-bounds
200
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The Puiseux series and gamma function

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#real-analysis #taylor-expansion #gamma-function
56
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How to obtain the function knowing its higher derivatives at $0$

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#derivatives #taylor-expansion #generating-functions
43
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Prove that a function is zero

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#analysis #taylor-expansion
49
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What is the type of a function given by a Taylor series.

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#taylor-expansion #type-theory
134
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Expansion of prime zeta function near singularities

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#prime-numbers #asymptotics #taylor-expansion #zeta-functions #singularity
73
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What’s the derivative of these equations in Taylor series?

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#calculus #derivatives #taylor-expansion
79
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Can we have a series representation of order $5$ at $x=0$ of the inverse function of $xe^{x^{2}}$?

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#power-series #taylor-expansion #inverse #inverse-function

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