Define Fn(x)=exp(-nx) for n=1,2,... . Show that Fn converges uniformly on (1, 00).
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Originally Posted by Cairo Define Fn(x)=exp(-nx) for n=1,2,... . Show that Fn converges uniformly on (1, 00). Claim: converges uniformly to . Proof: Let be given. Choose so that . Then for all and we have QED
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