Question

#59
Does the limit of f(x) as x approaches 3=does not exist

Answer 1

Plug x = 3 into the first piece to get
2(x+1) = 2*(3+1) = 2*4 = 8

Do the same for the last piece
x^2 - 1 = 3^2 - 1 = 9-1 = 8

So as we approach x = 3 from either the left or right side, the limiting value is 8

The final answer is 8