$\text { Find the third Taylor polynomial for } f ( x ) = \frac { 7 } { x } \text {, expanded about } c = 1 \text {. }$

Multiple Choice

$\text { Find the third Taylor polynomial for } f ( x ) = \frac { 7 } { x } \text {, expanded about } c = 1 \text {. }$

A) $P _ { 3 } ( x ) = 7 - 7 ( x - 1 ) - 14 ( x - 1 ) ^ { 2 } - 7 ( x - 1 ) ^ { 3 }$
B) $P _ { 3 } ( x ) = 7 - 7 ( x - 1 ) + 7 ( x - 1 ) ^ { 2 } - 7 ( x - 1 ) ^ { 3 }$
C) $P _ { 3 } ( x ) = 7 - 7 ( x - 1 ) + 14 ( x - 1 ) ^ { 2 } - 14 ( x - 1 ) ^ { 3 }$
D) $P _ { 3 } ( x ) = 7 - 7 ( x + 1 ) + 7 ( x + 1 ) ^ { 2 } - 7 ( x + 1 ) ^ { 3 }$
E) $P _ { 3 } ( x ) = 7 - 7 ( x - 1 ) - 42 ( x - 1 ) ^ { 2 } - 7 ( x - 1 ) ^ { 3 }$