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

prove: lim n-> inifity Sn = 0

Let Sn = (n+1)/(n^2 +1)

2. Relevant equations

(for all epsilon > o) (there exists N) (for all n) [ n>N => |Sn-0| < epsilon]

3. The attempt at a solution

i let epsilon be arbitrary, so we must show that there exists an N such that for all n [ n>N => |Sn-0| < epsilon

Find N

|Sn -0| = |(n+1)/(n^2 +1)| = (n+1)/(n^2 +1)

I'm completely stuck on this step. I'm not sure how to deal with inequalities where i can make it (some term / n) < epsilon

so I can't choose N= term/epsilon

Any help would be much appreciated

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# Homework Help: Epislon Delta Proof: Limit of a Sequence

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