Chapter 3.1, Problem 8QR

Let a and b represent real numbers. Define ax² + x - b, ax + b, 2ax f(x): a = b = (a) Find the values of a and b such that f is continuous on the entire real number line. (c) Let g(x) - (b) Evaluate lim f(x). X→ 3 Need Help? Submit Answer 7, = f(x) x - 1 if x ≤ 2 if 2 < x < 5. if x 25 Read It Evaluate lim g(x). X→1

2. Explain what it means to say lim f(x) does not exist. Again, be sure to explain the x-3 concepts!!

Show that there is no number a which satisfies the definition for the statement lim (-1)"+1 = x.