; Tests for the experimental limit command. clear all ; find the derivative of 1/(x^.5) using the difference quotient: (1/(x+h)^.5-1/x^.5)/h limit h 0 ; take the limit as h goes to 0 integrate x ; take the anti-derivative to see if it's right ; test infinity limits: (3x+100-a)/(x-b) limit x inf ; answer should be 3 (((x^2) - (5*x) + 6)^(1/2)) - x limit x inf ; answer should be -5/2 x*((x^2+1)^.5-x) limit x inf ; answer should be 1/2