1. The problem statement, all variables and given/known data For any b in ℝ, prove lim(b/n)=0 2. Relevant equations I'm going to use the limit of a sequence involving any ε>0 for this. 3. The attempt at a solution Let b be in ℝ Let ε>0, the 1/ε>0 Let K be in N s.t. K>1/ε If n≥K, n≥1/ε This implies |b/n - 0| = |b|*|1/n - 0| = |b|*|1/n| < |b|*ε. Since ε>0 is arbitray, we can conclude the lim(b/n) = 0 for any b in ℝ.