Quick Reference: Convergent Series
Maclaurin's series:
f
(
x
) and all derivatives must exist at
x
= 0
Taylor's series: reduces to Maclaurin's series for
a
= 0
Substitute
x
= (
a
+
h
) to obtain the form:
Binomial series: Finite for
k
is a positive integer or zero, all values of
x
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