; Tests for the experimental limit command. clear all ; find the derivative of: y = 1/(x^.5) ; using the difference quotient: y' = (1/(x+delta_x)^.5-1/x^.5)/delta_x limit delta_x 0 ; take the limit as delta_x (change in x) goes to 0 3 integrate x ; take the antiderivative to see if it's right compare 1 ; test infinity limits: 2x/(x+1) limit x inf ; answer should be 2 (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 1/x^2+1/x limit x inf ; result should be 0 ((2*(x^2)) - x - 6)/((x^2) + (2*x) - 8) limit x inf ; result should be 2 ; The following currently give wrong answers: x^2+x limit x inf ; result should be inf