1.5 Questions Problem 1. Consider the graph of f(x) below. Evaluate the following: -C (a) lim f(x) = x-+1 (b) lim f(x) = (c) lim f(x) = d) lim f(x) = (e) lim f(x) = x-+3- Problem 2. Describe the function f(x) shown below using at least 3 one-sided and 3 two-sided limit statements. 0.5 0.5 -1.5 -2/ N Problem 3. Sketch the graph of the following function and find lim g(x). x 3 1 2 3 4 5 6 7 What is g(3)? Does that value matter when finding lim, g(x) ?Problem 4. How do you find the vertical asymptotes of a rational function? List the vertical asymptotes of the following functions: 1 x - 1 ( a ) f ( 20 ) = 7 (2 - 1) (2+3) (b) * g(20) = 7 (2 - 1) (2+ 3) (c) h(z) = _ 202 + 3x + 2 22 - 4 Problem 5. Consider the function f(x) = x3 sec x on the interval [0, 7]. (a) When does f have a vertical asymptote? (b) Evaluate lim x seca and lim x secx