Posted by **laura** on Monday, August 8, 2011 at 8:30pm.

a) Find the Taylor series associated to f(x) = x^-2 at a = 1.

Be sure to show the general term of the series.

b) Find the radius of convergence of the series.

c)Use Lagrange's Remainder Theorem to prove that for x

in the interval of convergence with x > 1; the power series converges

to f(x).