Use Power Series Operations to Find the Taylor Series at X

question 444

Multiple Choice

Use power series operations to find the Taylor series at x = 0 for the given function.
- $$\frac { 1 } { ( 1 - 5 x ) ^ { 2 } }$$

• A) \(\sum _ { n = 0 } ^ { \infty } n 5 ^ { n + 1 } x ^ { n + 1 }\)
• B) \(\sum _ { n = 0 } ^ { \infty } n 5 ^ { n } x _ { x }\)
• C) \(\sum _ { n = 0 } ^ { \infty } ( n + 1 ) 5 ^ { n _ { x } n }\)
• D) \(\sum _ { n = 0 } ^ { \infty } ( n + 1 ) 5 ^ { n + 1 } x ^ { n + 1 }\)

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