1. The problem statement, all variables and given/known data Find limit for x tending to infinity of: (e^(x^-2)-1)/(2arctan(x^2) - pi) 2. Relevant equations arctanx +arccotx=pi/2 arctanx=arccot(1/x) 3. The attempt at a solution P.S I haven't written limit before each step, and hope you can get how I arrived at the first step.I just took 2 common from the denominator and used simple inverse trig. However,the answer is -1/2 Where am I going wrong?