8. 1) Use the Integral Test to determine whether the series is convergent or dive n' +1 n=1 Please use the attached Integral Test to correctly Solve the problem. Show all your work . *Also when you find the solution, please plug the answer into this following sentence frame as a conclusion. n Sentence Frame: By the is_divergent or convergent_ test, the series n=1 N¯ +1 Thank you.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Hello, Please answer the following attached Calculus question correctly and show all your work. Please use the attached Integral test, to correctly solve the problem.

*Also when you find the solution, please plug the answer into the following sentence frame as a conclusion.

Sentence Frame: By the ________ test, the series _________ is _divergent or convergent____________.

*If you actually solve the question correctly, fill out the above sentence correctly, and show all of your work, I will 100% leave a thumbs up for you. Thank you.

Assume f(n) = an, and
f(x) is positive, decreasing and
continuous on [1, 0).
Use the integral test if the integral is easy to evaluate.
The integral is always an improper integral, so
INTEGRAL TEST
%3D
f f(x)dx is convergent (divergent), then
(for series with
positive terms)
La, is also convergent (divergent).
f(x)dx = lim [ f(x)dx.
n=1
Transcribed Image Text:Assume f(n) = an, and f(x) is positive, decreasing and continuous on [1, 0). Use the integral test if the integral is easy to evaluate. The integral is always an improper integral, so INTEGRAL TEST %3D f f(x)dx is convergent (divergent), then (for series with positive terms) La, is also convergent (divergent). f(x)dx = lim [ f(x)dx. n=1
1) Use the Integral Test to determine whether the series >
is convergent or divergent.
2
n=1 n´ +1
Please use the attached Integral Test to correctly Solve the problem. Show all your work .
*Also when you find the solution, please plug the answer into this following
sentence frame as a conclusion.
Sentence Frame: By the
is_divergent or convergent_
test, the series
+1
n=1
Thank you.
Transcribed Image Text:1) Use the Integral Test to determine whether the series > is convergent or divergent. 2 n=1 n´ +1 Please use the attached Integral Test to correctly Solve the problem. Show all your work . *Also when you find the solution, please plug the answer into this following sentence frame as a conclusion. Sentence Frame: By the is_divergent or convergent_ test, the series +1 n=1 Thank you.
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