1. The problem statement, all variables and given/known data lim x --> 0 (arctan(cosx))/(e^x) a) infinity, b) pi/2, c) pi/4, pi/4 d) -infinity, e) -pi/2 2. Relevant equations 3. The attempt at a solution You cannot use hospitals rule because its not indeterminate. e^x will approach 1, but I cannot figure out the numerator. Cos(x) will equal 1, but arctan of 1? Any help would be appreciated, exam coming up. Thanks!