Use Power Series Operations to Find the Taylor Series at X

question 19

Multiple Choice

Use power series operations to find the Taylor series at x = 0 for the given function.
- $$\frac { x ^ { 7 } } { 1 - 3 x }$$

• A) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n + 1 } 3 ^ { n } n _ { n + 7 }\)
• B) \(\sum _ { n = 0 } ^ { \infty } 3 ^ { n _ { x } n + 8 }\)
• C) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n _ { 3 } } n _ { x } n + 8\)
• D) \(\sum _ { n = 0 } ^ { \infty } 3 ^ { n _ { x } n + 7 }\)

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