   Chapter 4.3, Problem 65E

Chapter
Section
Textbook Problem

True or False? In Exercises 63-68, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.If the norm of a partition approaches zero, then the number of subintervals approaches infinity.

To determine
If the statement ‘if the norm of a partition approaches zero, then the number of subintervals approaches infinity’ istrue or false.

Explanation

The width of the largest subinterval of the partitions Δ is called the norm of the partition and is denoted by Δ.

If the subintervals are of equal width, then the partition is regular.

Δ=Δx=ban

However, for a general partition, the norm is related to the number of subintervals, that is, n

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