Recent content by monkeybird

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    Proof that there is a solution to f(x)=x

    This is my first analysis class and I'm really confused. My attempt may not make much sense because I just followed an example in my book, so any help would be greatly appreciated. Thanks! Homework Statement Suppose that f: R -> R is continuous and that its image f(R) is bounded. Prove that...
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    Conditions for a real number not to be a limit point

    Homework Statement Given a sequence <xn>n of real numbers. Give the conditions for a real number a not to be a limit point of the sequence. (lim xn not equal to a.) The Attempt at a Solution I'm really not sure if this is the whole answer or if it's only a part of it: For all e>0...