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

question 102

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)\(\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } ( 2 ) } { n - 1 } ( x - 1 ) ^ { n }\)

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