How to prove the below theorem ?
Prove that the sequence $f_1$, $f_2$,... converges uniformly to a continuous function, $f\colon [0, 1] \to \mathbb{R}$, by showing that it is a Cauchy sequence in the sup-norm.
How to prove the below theorem ?
Prove that the sequence $f_1$, $f_2$,... converges uniformly to a continuous function, $f\colon [0, 1] \to \mathbb{R}$, by showing that it is a Cauchy sequence in the sup-norm.
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