Difference between revisions of "Taylor series"
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=Examples of Taylor series= | =Examples of Taylor series= | ||
− | + | [[Taylor series of the exponential function]]<br /> | |
− | + | [[Taylor series of sine]]<br /> | |
+ | [[Taylor series of cosine]]<br /> | ||
+ | [[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