5 and 6 please

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Part 5 and 6 please
Objectives: To determine if a series converges or diverges using the Integral test or P-test;
Estimate a sum of an infinite series.
Notes: An integral does not need to start at 1. The function doesn't need to always be decreasing; it just
needs to be decreasing starting at some value of x greater than 1.
Determine if the following series converge or diverge. You may use any of the tests learned so far.
Sometimes it's good to do a quick divergence test before doing other things. Be sure to always (1) name
the test you use, (2) clearly show the work you did performing the test, (3) state your conclusion. Don't
forget, you must determine that the function is continuous, positive and decreasing before you use the
Integral Test.
1.
Σn-√2
n=1
F2
2.
n+1
n=1 n+2
Transcribed Image Text:Objectives: To determine if a series converges or diverges using the Integral test or P-test; Estimate a sum of an infinite series. Notes: An integral does not need to start at 1. The function doesn't need to always be decreasing; it just needs to be decreasing starting at some value of x greater than 1. Determine if the following series converge or diverge. You may use any of the tests learned so far. Sometimes it's good to do a quick divergence test before doing other things. Be sure to always (1) name the test you use, (2) clearly show the work you did performing the test, (3) state your conclusion. Don't forget, you must determine that the function is continuous, positive and decreasing before you use the Integral Test. 1. Σn-√2 n=1 F2 2. n+1 n=1 n+2
5.
~ In(k)
6.
-
Σ
min Η
Transcribed Image Text:5. ~ In(k) 6. - Σ min Η
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