For the Function $g ( x ) = \frac { 1 } { 11 x ^ { 2 } + 1 }$

question 46

Multiple Choice

$\text { Use the power series } \frac { 1 } { 1 + x } = \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } x ^ { n } \text { to determine a power series centered at } 0$ for the function $g ( x ) = \frac { 1 } { 11 x ^ { 2 } + 1 }$ .

• A) \(\sum _ { n = 0 } ^ { \infty } ( - 11 ) ^ { n } x ^ { n }\)
• B)\(\sum _ { n = 0 } ^ { \infty } ( 11 ) ^ { n } x ^ { 2 n }\)
• C) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } x ^ { 2 n }\)
• D)\(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } x ^ { n }\)
• E)\(\sum _ { n = 0 } ^ { \infty } ( - 11 ) ^ { n } x ^ { 2 n }\)

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