First, notice that hhh isn't defined for x=1x=1x, equals, 1. However, this doesn't mean that the limit doesn't exist!
In fact, there is no demand for a function to be defined at a point for the function to have a limit at that point.
Let's look at the table of values and see if the h(x)h(x)h, left parenthesis, x, right parenthesis-values seem to approach a distinct value as the xxx-values approach 111.