If , then does not exist.
Lim where f (x) = 2 (x+1) if x <3
x->2 4 if x=3
x^2 - 1 if x> 3
please tell me you have to write out what the left and right limits are to find out if they are equal?
left limit is 6 and right is 3 so the answer is DNE right?!
If, in fact, you are trying to find the limit at 2 then you can ignore everything that is not close to 2. In particular, f(x)= 2(x+ 1) for x "anywhere near 2" (close to 2 is certainly less than 3). You do NOT use " " to evaluate since that is true only for x> 3.