Do One Sided Limits Exist?

A one sided limit does not exist when: 1. there is a vertical asymptote. So, the limit does not exist.

How do you know if one sided limit exists?

f(1) = 2 therefore the function is defined at x = 1 and passes the first test of continuity. To determine if the limit exists we will compare the one-sided limits from the left and right to see if they approach the same value. ... Approaching 1 from the right we will use the function f(x) = 2.

Why does a one sided limit not exist?

Limits typically fail to exist for one of four reasons: The one-sided limits are not equal. The function doesn't approach a finite value (see Basic Definition of Limit). The function doesn't approach a particular value (oscillation).