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Representing Functions with Power Series
Worksheet
Grade Level
Calculus II
CAL2.150 Representing Functions with Power Series
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Choose the series in powers of \((x+1)\) for \(f(x)=\frac{1}{(2+x)
2
}\), including the interval of equality.
A
\(\sum_{n=0}
\infty
(n+1)(x+1)
n
\); interval \((-2,0)\)
B
\(\sum_{n=0}
\infty
(-1)
n
(n+1)(x+1)
n
\); interval \((-2,0)\)
C
\(\sum_{n=0}
\infty
(-1)
n
(x+1)
n
\); interval \((-2,0)\)
D
\(\sum_{n=0}
\infty
(-1)
n
(n+1)(x+1)
n
\); interval \((-1,1)\)
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