1. The problem statement, all variables and given/known data find the positive integers k for which lim x->0 sin(sin(x))/x^k 2. Relevant equations exists, and then find the value of the limit 3. The attempt at a solution I did the first three k's k=0 lim x->0 sin(sin x))/x^0= 0 undefined k=1 lim x->0 sin(sinx))/x^1= 1 k=2 I might be wrong with this lim x->0 sin(sinx))/x^2= undefined k>2 how do I do this one. lim x-> sin(sinx))/x^k>2=?