though tutoring, i think i understand the basic taylor concept now...

Letf (x) =x^1/2

(a) Find the Taylor polynomial T(x) of f (x) of degree 3 centered around a = 1.

(b) Use T(x) to find an approximation of 2^1/2

(c) Estimate the error in your approximation in part (b).

i found a to be 1+1/2(x-1) -1/8 (x-1)^2 + 1/16 (x-1)^3

should i write my answer like the above or include the factorials?

then for b i got 23/16

and i have no idea what to do for c.