(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Limit a[itex]\underline{}n[/itex] as n→∞ = a. Find the limit a, and Determine N so that absolute value(a[itex]\underline{}n[/itex] - a) < [itex]\epsilon[/itex] for all n>N for the given value of [itex]\epsilon[/itex].

The problem that I am working on is:

a[itex]\underline{}n[/itex] = 1/n , [itex]\epsilon[/itex] = 0.01

I'm sure this is very simple, as I am only two weeks into my university's basic calcuus class, but I am not nderstanding what to do. I have also tried going to tutoring and office hours, but my professor only confuses me more with his broken English.

2. Relevant equations

I am not sure what N is. I know that n is the nmber we are currently plugging in. I also know that a[itex]\underline{}n[/itex] is the whatever equation we are using (in this problem it is 1/n), and I know that [itex]\epsilon[/itex] is a margin above and below the limit.

3. The attempt at a solution

I saarted with the equation:

absolute value((a[itex]\underline{}n[/itex]) - a) <[itex]\epsilon[/itex]

I then plugged in numbers to get:

absolute value ((1/n)-0) < 0.01

After dropping the absolute value (because the limit is zero, and I think I am only solving for positive[itex]\epsilon[/itex]), and isolating n, I proceeded to get:

100 < n

I do not know what to do from here. I am not sure what n>N means or how to solve for it. Thank you so much.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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