This is a right handed limit because there is a "+" next to the -19. This means that we have to find the limit as the function goes to -19 from the right side. This means that the limit is when it goes from -19.1 --> -19.
From the table we see that this area is aproaching 38 as it gets closer to -19.
The f(x) number will get increasingly closer to 38 but never reach 38, and that is why it is the limit.