Calculus, Delta- Epsilon Proof Of Limits

1. Feb 17, 2008

goofyfootsp

1. The problem statement, all variables and given/known data
Is this the right direction to prove

Given that , prove that . Using the delta epsilon definition to prove that means that, for any arbitrary small there exists a where as:

If we choose any constant for (x) called C, as long as C does not equal zero, the equation follows:

whenever , since f(x) as x goes to a is equal to L.

Multiply the by the absolute vale of the constant C, , so you have

Now the product of absolute values is equal to the absolute value of the products so,

3. The attempt at a solution

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• Limit proof.doc
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2. Feb 17, 2008

HallsofIvy

Staff Emeritus
There appear to be whole sections of your post missing!

3. Feb 18, 2008

goofyfootsp

calculations in attachment

I apologize but the attatchment has the work in it.