1. The problem statement, all variables and given/known data lim (x)(sin(1/x)) x->∞ 2. Relevant equations 3. The attempt at a solution The correct answer is 1, however I do not understand why. I thought that 1/∞ is essentially 0 and sin(0) = 0 so the whole limit would be 0. When I graphed it, the limit did seem to approach 1 though. I don't understand why it doesn't work out algebraically.