Use the Definition to Find the Taylor Series (Centered at C)

Multiple Choice

Use the definition to find the Taylor series (centered at c) for the function.
$f ( x ) = \ln \left( x ^ { 2 } \right) , c = 1$

A) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } ( 2 ) } { n } ( x - 1 ) ^ { n }$
B) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 2 ) } { n } ( x - 1 ) ^ { n }$
C) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } ( 2 ) } { n } ( x - 1 ) ^ { n - 1 }$
D) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } ( 2 ) } { n - 1 } ( x - 1 ) ^ { n - 1 }$
E) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } ( 2 ) } { n - 1 } ( x - 1 ) ^ { n }$