Use the Definition to Find the Taylor Series Centered At c

Multiple Choice

Use the definition to find the Taylor series centered at $c = 1 \text { for the function }$ $f ( x ) = \frac { 1 } { x }$

A)
$$\frac { 1 } { x } = \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } x ^ { n }$$
B)
$$\frac { 1 } { x } = \sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } ( x + 1 ) ^ { n }$$
C)
$$\frac { 1 } { x } = \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n + 1 } ( x - 1 ) ^ { n }$$
D)
$$\frac { 1 } { x } = \sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } ( x ) ^ { n }$$
E)
$$\frac { 1 } { x } = \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } ( x - 1 ) ^ { n }$$