Let (fn) be a sequence that converges to ƒ uniformly on a set A CR. Assume that |fn(x)| < M for all x € A. Show that if g is continuous function on [-M, M], then the sequence (go fn) converges uniformly on A.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Let (fn) be a sequence that converges to f uniformly on a set ACR. Assume that |fn(x)| < M for
all x E A. Show that if g is continuous function on [-M, M], then the sequence (go fn) converges
uniformly on A.
Transcribed Image Text:Let (fn) be a sequence that converges to f uniformly on a set ACR. Assume that |fn(x)| < M for all x E A. Show that if g is continuous function on [-M, M], then the sequence (go fn) converges uniformly on A.
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