# Calculus

posted by
**laura**
.

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).