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Taylor Series from Known Series
Worksheet
Grade Level
Calculus II
CAL2.149 Taylor Series from Known Series
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Select the Maclaurin series for \(\int_0
x
\frac{1-\cos t}{t}\,dt\) near \(x=0\).
A
\(\sum_{n=1}
\infty
(-1)
n+1
\frac{x
2n
}{(2n)!}\)
B
\(\sum_{n=1}
\infty
(-1)
n+1
\frac{x
2n
}{(2n)(2n)!}\)
C
\(\sum_{n=0}
\infty
(-1)
n
\frac{x
2n+1
}{(2n+1)(2n)!}\)
D
\(\sum_{n=1}
\infty
(-1)
n
\frac{x
2n
}{(2n)(2n)!}\)
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