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November 7th, 2008, 04:24 AM   #1
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a Limit question.

Hello friens.
How it is proved : ?

We cant's solve it by using Quotient Law, so How that is proved?!
Thanks a lot.
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November 7th, 2008, 05:28 AM   #2
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Re: a Limit question.

As x->a? Or as x->0
If x is anything but but 0, 1/x^2 is well-defined.

Look at the definition of a limit. I'm taking this straight of of Stewart 5e:


So, f(x) = 1/x^2, and a = 0. We want to be able to choose, for each M, a delta such that:


Can you find such a delta (relative to M)?
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November 7th, 2008, 02:26 PM   #3
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Re: a Limit question.

Again, assuming 0 for "a", would not a study of fractions be sufficient? As the denominator decreases indefinitely, the value as a whole increases indefinitely.
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