Which of the Following Is the Power Series Centered At a =

question 168

Multiple Choice

Which of the following is the power series centered at $a = 0$ for $f ( x ) = \frac { 1 } { x + 4 }$ ?
1) $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 4 ^ { n } } x ^ { n }$ 2) $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { 4 ^ { n + 1 } } x ^ { n }$ 3) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { 4 ^ { n } } x ^ { n - 1 }$

• A)None
• B)1
• C)2
• D)3
• E)1, 2
• F)1, 3
• G)2, 3
• H)1, 2, 3

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