Math Formulas: Taylor and Maclaurin Series

Definition:

This result holds if f(x) has continuous derivatives of order n at last. If , the infinite series obtained is called Taylor series for f(x) about x = a. If a = 0 the series is often called a Maclaurin series.

Binomial series

Special cases:

Series for exponential and logarithmic functions

Series for trigonometric functions

Series for hyperbolic functions

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