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Power Series from Geometric Series
Worksheet
Grade Level
Calculus II
CAL2.139 Power Series from Geometric Series
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Which power series centered at \(x=4\) represents \(\frac{3}{2x-5}\)?
A
\(\sum_{n=0}
\infty
\left(\frac{2(x-4)}{3}\right)
n
,\ ∣x-4∣ <\frac32\)
B
\(3\sum_{n=0}
\infty
\left(-\frac{2(x-4)}{3}\right)
n
,\ ∣x-4∣ <\frac32\)
C
\(\sum_{n=0}
\infty
\left(-\frac{3(x-4)}{2}\right)
n
,\ ∣x-4∣ <\frac23\)
D
\(\sum_{n=0}
\infty
\left(-\frac{2(x-4)}{3}\right)
n
,\ ∣x-4∣ <\frac32\)
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