5. [-/1 Points] DETAILS SCALCCC5 2.3.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) What is wrong with the following equation? x2 + x - 2 = x+2 x - 1 O ( x - 1) (x + 2) # x2 + x - 2 O The left-hand side is not defined for x = 0, but the right-hand side is. O The left-hand side is not defined for x = 1, but the right-hand side is. O None of these - the equation is correct. (b) In view of part (a), explain why the following equation is correct. lim x2 + x - 2 = lim (x+ 2) If x x - 1 x - 1 Since x2 + X - 2 and x + 2 are both continuous, the equation follows. x - 1 O Since the equation holds for all x # 1, it follows that both sides of the equation approach the same limit as x - 1. O This equation follows from the fact that the equation in part (a) is correct. O None of these - the equation is not correct. Need Help? Read It Submit