Subject: Basic Calculus

Topic: Limits of Polynomial, Rational, and Radical Functions

Activity:

Supplementary Problems 1. Evaluate the following limits using the limit theorems. (a) lim (a + 1) (i) lim x-0x+1 (b) lim (x - 2) (c) lim (2x + 3) (i) lim c-+3 2x - 4 - -1 (d) lim (1 - 3x) 22 - 1 (k) lim - x+1 (e) lim (x2 + 3x -5) 1+x2 (f) lim (2x - 1- 52-2) (1) lim x-2 x+3 (g) lim (23 + x2 - 1) (m) lim va - 1 (h) lim (x - x2 -x+1) (n) lim (vx2 - 1) x-+1 2. Determine the following limits using tables of values. (a) lim 1 1-+-2+2 (d) _ lim x--la+1 1 (b) lim . 1 (e) lim 2-0x2 - x (c) lim (f) lim 1 -0 23 - C