Chapter 5: Q. 80 (page 479)
Prove each statement in Exercises 78–80, using the definition of improper integrals as limits of proper definite integrals.
Suppose f(x) and g(x) are both continuous on (a, b]but not at x = a. If diverges and 0 ≤ f(x) ≤ g(x) for all x ∈ (a, b], thenalso diverges.
Short Answer
The given statement is proved.