1. The problem statement, all variables and given/known data Consider the sequence a_n = abs(sin(x))^(1/x) Find the lim a_n if it exists 2. Relevant equations None. This is for my calc 2 class. 3. The attempt at a solution We are studying the sandwich theorem, so I thought 0 < M^(1/x) < abs(sin(x))^(1/x) < 1^(1/x). (Because I assumed that sequences imply x = 1, 2, 3, 4 ..., so sin(x) never equals 0). Since M^(1/x) and 1 both tend to 1, I reasoned a_n must go to 1.