Hi there,(adsbygoogle = window.adsbygoogle || []).push({});

Only a slight problem here... My girlfriend has just taken a calc 1 quiz and she's presented this problem to me which goes against the grain of what I know - however, I could be hideously mis-informed.

She was asked to draw a graph of a piece-wise function given some definitions and limits. I shall only state the area that is causing me some intuitive grief.

[tex]

f(0) = 2

[/tex]

[tex]

\lim_{x\to{0^-}} f(x) = -1

[/tex]

[tex]

\lim_{x\to{0^+}} f(x) = 1

[/tex]

If f(0) is most definitely defined at that point, why is it not its limit. By this logic, couldnt i essentially dot defined, singular points all over any arbitrary graph with DEFINITE two sided limits...This is my problem...

Any opinions?

Cheers guys.....Brendan

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# Slight discrepancy

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