# c is continuous at x =11. Using E-8 definition, prove that the function f(x)the following table:e 0.10.015. Fill out0.001Reminder: Function f(x) is continuous at xo if limzo f(x) = f(x0).limro f(x)a iffor any e > 0 there exists a 6 > 0 such that for any x if x - xol

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Good afternoon. I have a midterm coming up, and my professor has given us a few definitions I have never seen before. I cannot seem to make sense of what she is doing, and barely can understand what she is asking for, even when she steps us through them. I was wondering if I could get a plain-english description of what she is looking for, and how to do, the attached question. Thanks!

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Step 1

According to the given information it is needed to prove that f(x) is continuous at x=a where

f(x) = x2 and a=5

To prove the following use the definition:

Step 2

Now,

Step 3

So, for...

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