Question: Problem $5[20$ marks $1$ Consider the metric space $C([0,1])$ with the distance function $$ (f, E)=int_{0}^{1}]f(x)-g(x) d x quad forall f, in C([0,1]) $$ Show

 Problem $5[20$ marks $1$ Consider the metric space $C([0,1])$ with the

Problem $5[20$ marks $1$ Consider the metric space $C([0,1])$ with the distance function $$ (f, E)=\int_{0}^{1}]f(x)-g(x) d x \quad \forall f, \in C([0,1]) $$ Show that this metric space is incomplete. SP.SD.433

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