. Let fn(x) = n sin (). Prove that: (a) fn converges uniformly on any finite...

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. Let fn(x) = n sin (). Prove that: (a) fn converges uniformly on any finite interval. Hint: make good use of sin ar when x is small. (b) fn does not converge uniformly on R. . Let fn(x) = n sin (). Prove that: (a) fn converges uniformly on any finite interval. Hint: make good use of sin ar when x is small. (b) fn does not converge uniformly on R.

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a To prove that fn converges unif... View the full answer