limits as x approaches 2

Question

lim_x→2^- f(x)= lim_x→2⁺ f(x)=-1, but f(2)=1, then lim_x→2f(x)

1. is -1
2. does not exist
3. is infinite
4. is 1

 

Answer 1

The limits from the left and the right are both -1.  Therefore the limit as x-->2 is -1.  Remember a limit is not necessarily the value of the function at that value.