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Unformatted text preview: y would be. No matter what you give, there is always a distance around  as long as your x is within , where is going to be within the range. For example: For most values of x, the equation becomes simply. However, at x=1, it is undefined. This function would have a hole at x=1. The closer we get to x=1, the more precisely we can define the function at x=1. In the example, = 3, L = 3, and a = 1. We can utilize the deltaepsilon definition of a limit to show this information. The next step is to manipulate the equation to the form of . We start by canceling out the (x1) term from the top and bottom of the equation leaving us with RGFT Task 1 This equation further simplifies as follows: Divide by 3 on both sides Therefore you have So for this example: The main point is to know that for any , we have the ability to find a , no matter how small gets....
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 Spring '11
 smith
 Calculus, Limits

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