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Math formulas: Taylor and Maclaurin Series

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Definition of Taylor series:

This result holds if has continuous derivatives of order at last. If , the infinite series obtained is called Taylor series for about . If the series is often called a Maclaurin series.

Binomial series

Special cases of binomial series

Series for exponential and logarithmic functions

Series for trigonometric functions

Series for inverse trigonometric functions

Series for hyperbolic functions

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