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# Need some help with this limits question watch

1. Hi guys i really need a hint as to what to do next here:
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2. (Original post by pineapplechemist)
Hi guys i really need a hint as to what to do next here:
"Choose \epsilon = \delta" is ambiguous. What is \delta here?

Your solution is going to need to start with "Let \epsilon be arbitrary." Indeed, you have to prove something "for every \epsilon".
3. (Original post by Smaug123)
"Choose \epsilon = \delta" is ambiguous. What is \delta here?

Your solution is going to need to start with "Let \epsilon be arbitrary." Indeed, you have to prove something "for every \epsilon".
How is this now?
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4. (Original post by pineapplechemist)
How is this now?
Yes, fine. "Continuous" means "change in f is small if change in x is small". "x_n tends to x" means "the change to get from x to x_n is small". Therefore, "the change in f is small when we go from x to x_n".
5. (Original post by pineapplechemist)
How is this now?
Although you have "exists n s.t. n>=N s.t." which should read "exists N s.t. for all n>=N, "
6. (Original post by Smaug123)
Yes, fine. "Continuous" means "change in f is small if change in x is small". "x_n tends to x" means "the change to get from x to x_n is small". Therefore, "the change in f is small when we go from x to x_n".
Thank you

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