Let f, g be continuous on a closed bounded interval [a, b] with |g(x)| > 0 for
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a) Prove that 1/gn is defined for large n and fn/gn → f/g uniformly on [a, b] as n → ∞.
b) Show that a) is false if [a, b] is replaced by (a, b).
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a By the Extreme Value Theorem f is bounded on a b and the...View the full answer
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