
Concept explainers
a.
To Find : If the sequence is convergent or divergent.
a.

Answer to Problem 45E
The sequence obtained is a divergent sequence.
Explanation of Solution
Given Information :
As,
for
Therefore, the sequence is : 1, 3, 1, 3, 1, 3, 1, 3 . . . . .
The elements of the sequence are oscillating between 1 and 3 without approaching any number also limit does not exist for this sequence.
Thus, The obtained sequence is a divergent sequence.
b.
To Find : If the sequence is convergent or divergent when,
b.

Answer to Problem 45E
The obtained sequence is convergent sequence.
Explanation of Solution
Given Information :
As
For
Thus the sequence obtained is : 2, 2, 2, 2, . . . . .
Therefore,
The obtained sequence is Convergent with a limit of 2.
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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