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Rendy · Answer 1 · 2018-03-02T02:58:44+0000

For the limit to exist, the limits from either side must also exist and be identical. We have

$\displaystyle\lim_(x\to2^-)f(x)=\lim_(x\to2)(x+3)=2+3=5$

$\displaystyle\lim_(x\to2^+)f(x)=\lim_(x\to2)(3-x)=3-2=1$

Since the limits do not match, the overall limit does not exist.

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