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Math Help - Limits from a graph of a function

  1. #1
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    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.
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    Quote Originally Posted by dammitpoo View Post
    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 ?
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  3. #3
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    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.
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