Geometric Functions Worksheet Page 4
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5Calculus Maximus
WS 9.4: Pwr Series:Geom Series
2
3
n
x
x
x
x
8. The Maclaurin series for
f x is given by
( )
1
2!
3!
4!
n
1 !
f
17
(a) Find
(0)
and
f
(0)
.
(b) For what values of x does the given series converge? Show your reasoning.
(c) Let ( )
. Write the Maclaurin series for ( )
g x in terms of a familiar function without
g x
xf x
( )
using series. Then, write
f x in terms of the same familiar function.
( )
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