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OpenStudy (fibonaccichick666):
\[Suppose~that~f:[a,b] \rightarrow \Re ~is ~differentiable~and~c ~\epsilon ~[a,b].~~Then ~show~that~there~exists~a~sequence~{x_n},~x_n \not =c,~such~that~f'(c)=lim{n}{\inf}f'(x_n).\]
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