# Math Help - Limits from a graph of a function

1. ## Limits from a graph of a function

Could someone explain why parts (a) and (b) are true? I initially thought that the limit does not exist (therefore false) but it turns out that the answer is true. I have been at this for a few days and I can't seem to figure out why.

2. Originally Posted by dammitpoo
Could someone explain why parts (a) and (b) are true? I initially thought that the limit does not exist (therefore false) but it turns out that the answer is true. I have been at this for a few days and I can't seem to figure out why.
graph leaves much to be desired ...

what's happening with the graph between x = -1 and x = 1 ?

3. If the graph really is as shown, then f(x) is not defined between -1 and 0 and so, yes, neither $\lim_{x\to -1^+} f(x)$ nor $\lim_{x\to 0^-}f(x)$ are defined.

If the graph is the line y= 1 for x between -1 and 0, then the limits would be as given.