How can I find the solution to this question?

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

for f(x) = 1 - cosx, the limit of f(x) as x approaches 0 is 0. Just plug in x= 0 to get f(0) = 1- cos(0) = 1-1 = 0

three of the graphs describe functions that have no limit as x approaches 0. the limit is undefined.

for the 1st graph as x approaches zero, f(x) approaches zero, but it is not a graph of f(x) = 1 - cosx. It describes a different function.