[Solution] If f:R→ R is differentiable at c , prove that f'(c)=n→ ∞ lim
Question: If \(f:R\to R\) is differentiable at c , prove that
\[f'\left( c \right)=\underset{n\to \infty }{\mathop{\lim }}\,\left( n\left( f\left( c+1/n \right)-f\left( c \right) \right) \right)\]
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