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

question 329

Multiple Choice

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

• 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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Definitions:

ATP

Adenosine triphosphate, a molecule that carries energy within cells for metabolism.

Nuclear Envelope

The double-layered membrane that encloses the nucleus of a cell, separating it from the cytoplasm and regulating the passage of materials between the nucleus and cytoplasm.

Double-layered Membrane

A structure consisting of two layers of membrane that can envelop or line cellular organelles or body cavities.

Microvilli

Finger-like protrusions from the surface of some cells, increasing their surface area for absorption.