Question

lim x->2 f(x) where

f(x) = { x^2-x-2/ 3x-6 , x<2 }
{-1 , x=2 }
{x+2/4 , x>2}

is f(x) continuous at x = 2 ? explain..

Answer 1

since lim x->2 f(x) = 1, we see f is not continuous, since f(2) = -1