# If (an) is a decreasing sequence of strictly positive numbers and if an is convergent, show that lim(nan) = 0.

If (an) is a decreasing sequence of strictly positive numbers and if ∑an is convergent, show that lim(nan) = 0.

## This problem has been solved!

Do you need an answer to a question different from the above? Ask your question!

**Related Book For**

## Introduction to Real Analysis

4th edition

**Authors:** Robert G. Bartle, Donald R. Sherbert

**ISBN:** 978-0471433316