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5. Let fn(x) = x/n on [0, 1]. Show that (fr)nen converges uniformly to a differentiable function on [0, 1], but (f%) does no

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pointulise limit of the is Given that fo(x)= ah on ze [0,1] x=0 f,60) - 0 OLULI, fo+1(a) for (x) anti ntl arx xin nel Lim no- O: for olac elx=1 Here: Pointwise limit is not a continuous function [0, 1] filt) is not coniformly converge on [0, 1]

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5. Let fn(x) = x"/n on [0, 1]. Show that (fr)nen converges uniformly to a differentiable...
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