1. The problem statement, all variables and given/known data I need to solve this limit. lim (x^4)(sin1/x) x→0 2. Relevant equations 3. The attempt at a solution Since as 1/x → 0+, the limit is +∞ but when 1/x → 0-, the limit is -∞. Since these two-sided limits don't match I thought the limit could not be calculated. apparently this is incorrect. any thoughts?