Use Power Series Operations to Find the Taylor Series at X

question 119

Multiple Choice

Use power series operations to find the Taylor series at x = 0 for the given function.
- $$\frac { x ^ { 7 } } { 1 + 2 x }$$

• A) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n + 1 } 2 ^ { n } x _ { x ^ { n } + 7 }\)
• B) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n _ { 2 } } n _ { x } n + 8\)
• C) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n + 1 } 2 ^ { n } n _ { x } + 8\)
• D) \(\sum _ { \mathrm { n } = 0 } ^ { \infty } ( - 1 ) ^ { \mathrm { n } _ { 2 } \mathrm { n } _ { \mathrm { x } } \mathrm { n } + 7 }\)

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