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Remainder of Exponential Function

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#taylor-expansion
897
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How to improve the small angle approximations for $\sin x$ and $\cos x$?

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#calculus #sequences-and-series #trigonometry #power-series #taylor-expansion
170
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Develop the Taylor Series for the function $f(x)={\frac{1}{1+x^2}}-{\frac{1}{x+2}}$ for $x=a$

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#calculus #sequences-and-series #taylor-expansion
153
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$\frac{{\sin \theta \cos \theta}}{1!}+\frac{{\sin 2\theta \cos ^2\theta}}{2!}+\frac{{\sin 3\theta \cos ^3\theta}}{3!}+...\infty$

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#sequences-and-series #complex-numbers #taylor-expansion
3.9k
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On the Maclaurin expansion of the Riemann zeta function and a related sequence.

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#taylor-expansion #riemann-zeta
476
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Expansion a 2 dimension variable by using Taylor series?

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#sequences-and-series #ordinary-differential-equations #derivatives #taylor-expansion
961
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Analytic continuation along a curve

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#complex-analysis #complex-numbers #power-series #taylor-expansion #analytic-continuation
48
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Error of a Taylor Polynomial

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#taylor-expansion
66
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Expand $f(x)=\sqrt{x}$ into a series so that you can calculate $\sqrt{0.9999999995}$ with a precision of 10 digits

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#calculus #taylor-expansion
73
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Prove using Taylor's Theorem: $1-\cos(\frac{x}{n})=\frac{x^2}{n^2}-\cos\theta(x_n,n)\frac{x^3}{6n^3}$

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#calculus #real-analysis #integration #sequences-and-series #taylor-expansion
154
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Maclaurin series for $\dfrac{\cos(x)}{x^2}$

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#taylor-expansion
11k
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maclaurin series of $f(x)=xe^{-x}$

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#power-series #taylor-expansion
31
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I have a problem with reaching the required result using Taylor Expansions.

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#taylor-expansion
501
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Maclaurin series to evaluate $\sqrt{1.2}$

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#calculus #taylor-expansion #radicals
92
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Extending expansion of variable dependent on two independent variables including their time derivatives?

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#sequences-and-series #ordinary-differential-equations #derivatives #taylor-expansion

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