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

lim x→2 (x^{2}+1) = 5

2. Relevant equations

0 < |x-a| < delta

|f(x) - L| < ε

3. The attempt at a solution

0 < |x-2| < delta

|x^{2}-4| < ε

|(x-2) (x+2)| < ε

|x-2| |x+2| < ε..................and I am stuck here, any help

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# Prove using the precise definition of the limit

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