Activity 1: Examine the following graphs and distinguish the value between the lim f(x) and f(c). (All Graphs are retrieved from: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1- 3/a/approximationg-limit-values-from-a-graph) 1 . lim f (x) 2. lim f (x) 3. lim f (x) X+2 f(2) f(5) f(0) Activity 2: Evaluating Limits 1. Given lim f(x) = 3 and lim g(x) = -1, Evaluate the following limits. (Show your complete solution). (a) lim 2 . f (x) (d) lim (f (z) - g(z)) (b) lim -3 . 9(x) (e) lim (f(x) . 9(x)) (c) lim (f(z) + g(z)) (f) lim f(x) a-+1 g(x) 2. Evaluate the following limits using the limit theorems. a. lim (x2 + 3x - 5) *-1 *4-2 e. lim *4-3 2x2-2x b. lim(x4 - x2 - x +1) f. lim vx - 1 X-5 C. lim - (x--1) *4-3 x+1 g. lim vx - 3 d. x2-x-6 X-2x-4x-12 h. lim 2x2-7x+3 X-5 1 x2-5x+6