題目
Prove that if f_n 屬於 C[a,b],then f_n→f uniformly on [a,b] if
and only if f_n→f in the metric of C[a,b].
補充
C[a,b] represent the collection of continuous f:[a,b]→R and
║f║ := sup |f(x)|, then ρ(f,g):=║f-g║is a metric on C[a,b].
x屬於[a,b]
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