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Question on theory: If $\lim_{x\to a^+}F(x)=L$ and $\lim_{x\to a^-}F(x)$ doesn't exist, then does the $\lim_{x\to a}F(x)$ exists and is $L$?

Thanks.

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    What is the exact definition of the limit of a function at a point? Isn't the right limit and the left one should equal?2012-12-24

2 Answers 2