Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 4 - Integration - 4.3 Exercises - Page 276: 65

Answer

True.

Work Step by Step

See p.267, text following the definition of Riemann sums. ...For a general partition, the norm is related to the number of subintervals of $[a, b]$ in the following way: $\displaystyle \frac{b-a}{\Vert\Delta\Vert}\leq n$ So, the number of subintervals in a partition approaches infinity as the norm of the partition approaches $0$. The statement is true.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.