Maclaurin series are closely related to Taylor series, being the Taylor series expansion of a function f(x) about x=0. The Maclaurin series of some functions are show below.

Higher order terms which include factors called Bernoulli numbers.

Higher order terms again include factors called Bernoulli numbers.

forHigher order terms include factors called Euler numbers.

forHigher order terms include Bernoulli numbers as factors.

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