Prove that the stated limit is correct by finding a number d (delta) in terms of E (is an element of) such that |f(x) - L| < E whenever |x - c|< d: lim (4x - 1) = 11 x -> 3
Last edited by ffxwolf; Sep 22nd 2009 at 12:11 PM.
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Originally Posted by ffxwolf Prove that the stated limit is correct by finding a number d (delta) in terms of E (is an element of) such that |f(x) - L| < E whenever |x - c|< d: lim (4x - 1) = 11 x -> 3 You want to find such that . Choose . Thus when , we have that
Thank you for your response, I just don't understand why delta = epsilon/4
Originally Posted by ffxwolf Thank you for your response, I just don't understand why delta = epsilon/4 If you don't know what is, you can solve for it. Whatever is you know that . So, work with what you have. You ultimately want . So, similar to before, . Now you want to be equal to , so you just solve for it.
Okay, I see it now. Thanks
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