1. The problem statement, all variables and given/known data I am trying to prove that given an[tex]\geq[/tex]0 for all n , and lim(an=a), that lim(sqrt(a(n)^2))=a^2. 2. Relevant equations 3. The attempt at a solution I have multiplied the bottom and top by the conjugate but I cannot find what to set as a lower bound for the absolute value of sqrt(an)+sqrt(a). Please help.