Geometric Functions Worksheet Page 5
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5Calculus Maximus
WS 9.4: Pwr Series:Geom Series
By recognizing each series in problems 9-12 as a Taylor series evaluated at a particular value of x, find the
sum of each of the following convergent series.
( )
n
-1
n
2
4
8
2
1
1
1
+
+
+L+
+L
+
-
+L+
+L
9. 1+
10. 1-
(
)
2n +1
n!
1!
2!
3!
3!
5!
7!
!
( )
n
n
2
3
-1
×10
æ
ö
æ
ö
æ
ö
2n
1
1
1
1
100
10,000
+
+
+L+
+L
+
+L+
+L
11. 1+
è ç
ø ÷
è ç
ø ÷
è ç
ø ÷
12. 1-
( )
4
4
4
4
2!
4!
2n
!
Page 5 of 5
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