MA129 Lab Report 4 - Limits, Derivative and Derivative Rules Winter 2022 Show all steps in the solutions to the following problems. Insufficient justification will result in a loss of marks. 1. [5 marks ] Consider the graph of f(x) given below. (a) If possible, approximate each of the following limits. Clearly indicate, any limits approaching too. i) lim f(x) = I-+1+ ii) lim f (x) = iii) lim f(x) = - I +1' iv ) f (1 ) = v) lim f(x) = vi) lim f(x) = I-+-2+ I- -2- -3 -2 -1 vii) lim f(x) = vili) f(-2) = 1-+ -2 ix) lim f(x) = x) lim f(x) = xi) lim f (x) = xii) f (-4) = (b) i. Use your results from part (a) to discuss the continuity of f(x) at a - -2. ii. Use your results from part (a) to discuss the continuity of f(x) at z = 1. 2. [6 marks] Find the derivative of the following functions using the limit definition. [No points will be awarded for simply using derivative rules.] (a) J(x) - -5.12 +2 (b) f (1) = V3-Ar O FB LOU 100% ~ X F4 C PrtSc Insert F5 F6 F7 F8 F9 F10 F11 F12 Impr Ecr. Ins C 5 O 1/4 1/2 314 P