Prove that if there is a number B such that |f(x)| <= B for all x doesnt equal 0, then limit x->0 xf(x) = 0 Where do I start?
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Originally Posted by Sterwine Prove that if there is a number B such that |f(x)| <= B for all x doesnt equal 0, then limit x->0 xf(x) = 0 Where do I start? I assume you proved that if is bounded and or , then ... If you have, simply use it and finish the proof. Otherwise, prove it and finish the proof! :P
Last edited by Defunkt; Oct 20th 2009 at 04:54 PM. Reason: typo
Well I dont really understand how you start that but thanks for at least helping
Originally Posted by Sterwine Prove that if there is a number B such that |f(x)| <= B for all x doesnt equal 0, then limit x->0 xf(x) = 0 Where do I start? since then for each we can let on the other hand, all we need to prove is that in efect and we're done.
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