# True or false: if f'(r) exists, then lim x ->r f(x) = f(r)?

True or false

If f '(r) exists, then lim x->r f(x)=f(r)

Please give an explanation why.

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If f '(r) exists, then lim x->r f(x)=f(r)

Please give an explanation why.

Thanks!

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