Find the Third Degree Taylor Polynomial Centered At $c = 1$

Multiple Choice

Find the third degree Taylor polynomial centered at $c = 1$ for the function. $$f ( x ) = \sqrt { x }$$

A) $1 + \frac { 1 } { 2 } ( x + 1 ) - \frac { 1 } { 8 } ( x - 1 ) ^ { 2 } + \frac { 1 } { 16 } ( x + 1 ) ^ { 3 }$
B) $1 + \frac { 1 } { 2 } ( x - 1 ) + \frac { 1 } { 8 } ( x - 1 ) ^ { 2 } - \frac { 1 } { 16 } ( x - 1 ) ^ { 3 }$
C) $1 + \frac { 1 } { 2 } ( x - 1 ) - \frac { 1 } { 8 } ( x - 1 ) ^ { 2 } + \frac { 1 } { 16 } ( x - 1 ) ^ { 3 }$
D) $1 + \frac { 1 } { 2 } ( x - 1 ) - \frac { 1 } { 8 } ( x - 1 ) ^ { 2 } - \frac { 1 } { 16 } ( x - 1 ) ^ { 3 }$
E) $1 + \frac { 1 } { 2 } ( x + 1 ) + \frac { 1 } { 8 } ( x - 1 ) ^ { 2 } - \frac { 1 } { 16 } ( x + 1 ) ^ { 3 }$