Difference between revisions of "Taylor series"

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=Examples of Taylor series=
 
=Examples of Taylor series=
{{:Taylor series of the exponential function}}
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[[Taylor series of the exponential function]]<br />
{{:Taylor series of sine}}
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[[Taylor series of sine]]<br />
{{:Taylor series of cosine}}
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[[Taylor series of cosine]]<br />
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[[Taylor series for sinh]]<br />

Latest revision as of 03:48, 6 June 2016

A Taylor series is a way to express a function as an infinite series under suitable differentiability conditions. The Taylor series is typically given by $$f(x) = \displaystyle\sum_{k=0}^{\infty} f^{(k)}(x_0) (x-x_0)^k,$$ where $(k)$ denotes differentiation.

Examples of Taylor series

Taylor series of the exponential function
Taylor series of sine
Taylor series of cosine
Taylor series for sinh