coralox301Lv1
8 Nov 2021
Problem 22
Page 584
Section 8.3: The Integral and comparison Tests; Estimating Sums
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
8 Nov 2021
Given information
Given infinite series
Need to evaluate whether given series is convergent or divergent.
Step-by-step explanation
Step 1.
Simplify
Proceed with the sequence by putting the value of
Observe that the above series is a geometric series.
Observe also the value of the common ration
Therefore analyze that is divergent
Noted that is convergent only for , or for the geometric series is divergent