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.
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Higher order terms include factors called Euler numbers.
for
Higher order terms include Bernoulli numbers as factors.
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