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University of California, Berkeley

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Problem 63

Finding $\delta$ When using the definition of limit to prove that $L$ is the limit of $f(x)$ as $x$ approaches $c,$ you find the largest satisfactory value of $\delta$ . Why would any smaller

positive value of $\delta$ also work?

Answer

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## Discussion

## Video Transcript

Okay, so we called at the limit. You're not supposed to see that. I mean that for that's one. Okay, that's a good in itself. Such that? Yeah. So that's an excellent in Delta. Then it implies that our function Oh, yeah. Well, you excellent. Now, if we reduce our delta, then this term here is also reduced. And as X approaches about Morrissey and limited existence already, the result wouldn't change.