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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- July 31st 2010, 10:30 PMGlitchEpsilon-delta limit proof
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. - July 31st 2010, 11:10 PMTheEmptySet
- July 31st 2010, 11:36 PMGlitch
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.

- July 31st 2010, 11:49 PMTheEmptySet
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.