   Chapter 7.R, Problem 8CC

Chapter
Section
Textbook Problem

# State the Comparison Theorem for improper integrals.

To determine

To State: Comparison Theorem for improper integrals.

Explanation

Sometimes we may face an integral which may or may not have a known integral but still it is important know whether it is convergent or divergent. In such cases the the following theorem is helpful to decide the convergence or divergence of an integral with the help of known integrals.

Let f and g be continuous functions such that 0f(x)g(x) for xa, then

(a) If ag(x)dx is convergent, then

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