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

question 225

Multiple Choice

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

• 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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