Geometric Functions Worksheet Page 3
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5Calculus Maximus
WS 9.4: Pwr Series:Geom Series
2
2
x
7. Let f be the function given by
f x
( )
e
x .
(a) Find the first four nonzero terms and the general term of the power series for
f x about
( )
0
x . Show the analysis
(b) Find the interval of convergence of the power series for
f x about
( )
0
that leads to your conclusion.
(c) (Calculator Permitted) Let g be the function given by the sum of the first four nonzero terms of
x . Show that
the power series for
f x about
( )
0
f x
( )
g x
( )
0.02
for 0.6
x
0.6
.
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