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

question 81

Multiple Choice

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) \(\sum _ { n = 0 } ^ { \infty } \frac { y ^ { 2 n + 1 } } { 11 }\)

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