Use a graphing utility to graph the function. f(x) = 1 − cos x x

Question

Use a graphing utility to graph the function.

f(x) = 1 − cos x
x

Describe the behavior of the function as x approaches zero.

As x → 0, f(x) → 

Answer 1

Let's first think of as x -->0, then cos(x) approaches what?

Then you can think about x-->0, then cos(x)*x approaches what?

Then use what you know about that to determine as x-->0, what does 1-cos(x)*x approach?