Xe^(3/x) Find domain, intercepts, asymptotes, inc/dec, local max/min, concave up/down, infelction points?

Basically, you find up to the third derivative. first derivative = 0 means maximums and mins, second derivative = concave up or down and third derivative = inflection points. x = 0 is an asymptote. Then do limits... as x goes to infinity it gets smaller.. approaches 0. no negative numbers. That is my thinking on looking at it.