1. The problem statement, all variables and given/known data A particle moves in the XY plane so that at any time t is greater than or equal to 0 its position (x,y) is given by x = e^t + e^-t and y = e^t - e^-t. Find the limit as t approaches infinity of dy/dx. 2. Relevant equations I found dy over dx to be e^t + e^-t over e^t - e^-t 3. The attempt at a solution I plugged in infinity for t but it comes out as infinity over infinity, and then I tried L'Hôpital's rule and then multiplied by the reciprocal, but still nothing. I dont know where to go from here.