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## Homework Statement

a.) Let f(x)=(sin x)/x, x≠0. Define f(0) such that f is continuous at x=0.

b.) Prove that if x

_{0}is critical point of function f (f(0) defined as in part a), then |f(x

_{0})|=1/(1+x

_{0}

^{2})

^{-½}(Hint: use the basic properties of sine and cosine with given information.)

## The Attempt at a Solution

a.)Easy. Let f(0)=1, because (sin x)/x approaches 1 when x--->0 so f(0) has to be equal to 1.

b.) I have no idea how to begin :/