Find a Power Series Representation for the Function $f ( y ) = \ln \left( \frac { 11 + y } { 11 - y } \right)$

Find a power series representation for the function. $f ( y ) = \ln \left( \frac { 11 + y } { 11 - y } \right)$

A) $\sum _ { n = 0 } ^ { \infty } 22 y ^ { 2 n + 1 }$
B) $\sum _ { n = 0 } ^ { \infty } \frac { 2 y ^ { 2 n + 1 } } { 11 ^ { n + 1 } ( 2 n + 1 ) }$
C) $\sum _ { n = 0 } ^ { \infty } \frac { y ^ { 2 n + 1 } } { 11 ^ { n + 1 } ( n + 1 ) }$
D) $\sum _ { n = 7 } ^ { \infty } \frac { 22 y ^ { 2 n + 1 } } { 22 }$
E) $\sum _ { n = 0 } ^ { \infty } \frac { y ^ { 2 n + 1 } } { 11 }$

Correct Answer:

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