Barrons AP Calculus

(Marvins-Underground-K-12) #1
COMMON MACLAURIN SERIES

We list here for reference some frequently used Maclaurin series expansions
together with their intervals of convergence:


FUNCTIONS THAT GENERATE NO SERIES

Note that the following functions are among those that fail to generate a specific
series in (x − a) because the function and/or one or more derivatives do not exist
at x = a:


FUNCTION SERIES IT  FAILS   TO  GENERATE
ln x about 0
ln (x − 1) about 1
about 2
about 0
tan x about
about −1
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