Chapter 12.3, Problem 3AYU

To determine

To find: The suitable parameter for given blanks.

Answer to Problem 3AYU

The suitable parameter for given blank is ‘divergent series’.

Explanation of Solution

Given information:

The given statement is

If a series does not converge ,it is called a _______.

Calculation:

A sequence having a limit that exist is called convergent sequence whereas a sequence having a limit that does not exist is called divergent sequence.

Then if a series does not converse ,it is called a divergent series.

Therefore the blank can be filled as follows.

If a series does not converge ,it is called a $\underset{\_}{\text{divergent}\text{series}}$ .