# Taylor series

From specialfunctionswiki

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