The question: Prove that the limit as x goes to infinity is 0 for My attempt: Now I'm stuck. How do I solve this for x? I'm sure this is simple, but for some reason I'm just not seeing it. :/ Thanks.
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Originally Posted by Glitch The question: Prove that the limit as x goes to infinity is 0 for My attempt: Now I'm stuck. How do I solve this for x? I'm sure this is simple, but for some reason I'm just not seeing it. :/ Thanks. To show a limit at infinity we need to show that for every there exists an such that for Notice that for n > 3
I'm having trouble following. I think I understand the general proof and conditions, but I'm unsure of why you substituted N for x.
To show that the limit exists we need to show that when x is large enough that the limit is close to 0. So I picked N to be my large x. So now for any x > N the inequality will hold.
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