Chapter 2, Problem 1CC

(a)

To determine

To define: the convergent sequence.

Explanation of Solution

Given information:

Consider the convergent sequence.

The sequence is said to be convergent, if the limit of the sequence is a finite value as

tends to infinite.

  $\underset{n\to \infty }{lt}{a}_n=\text{finite }$ .

(b)

To determine

To Explain: The meaning of $\underset{n\to \infty }{lt}{a}_n=3$ .

Explanation of Solution

Given information:

  $\underset{n\to \infty }{lt}{a}_n=3$

Consider $\underset{n\to \infty }{lt}{a}_n=3$

As n tends to infinite, the sequence $a_n$ converges to value $3$