9 Nov 2021
Problem 1c
Page 591
Section 8.4: Other Convergence Tests
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
9 Nov 2021
Given information
Given information is that an alternating series satisfies the convergence conditions
Step-by-step explanation
Step 1.
Let the summation of the alternating equation be and satisfies the condition of convergence
Therefore,
for all
Understand that the remainder that is the error involved in using the partial sum as an approximation to the actual total sum is given by
Thus, the remainder after terms if the condition satisfies then