Let h: RR be differentiable at 0. Define fn: RR for n N by fn(z) =...

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Let h: RR be differentiable at 0. Define fn: R→R for n€ N by fn(z) = nh(ar/n) Assuming h(0) = 0, show that {f} converges uniformly on any finite interval. Let h: RR be differentiable at 0. Define fn: R→R for n€ N by fn(z) = nh(ar/n) Assuming h(0) = 0, show that {f} converges uniformly on any finite interval.