Answered: 4.14.1.4 FOR EACH OF THE FOLONING O…

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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I could use some help beginning this next test for convergence... I’m thinking of using the ratio test but the radical makes it look messy... any suggestions? The answer in the book says they used the limit comparison test. I’m not comfortable using this yet. When using the LCT, I simply use the first terms of the ratio under the square root and compare them to the whole a sub n? i.e. (2/n^3)^1/2 is b sub n and the original series in the photo is a sub n? Then take the limit of an/bn? This radical has me a little thrown off. Any help or direction would be much appreciated! Thanks!

4.14.1.4 FOR EACH OF THE FOLLONING O SERIES, DETERMINE
IF IT CONVERGES ABSOUTELY, CONDITIONALL Y, OR DIVERGES.
EXPLMN CLEARY WHAT YOUR REASONING IS, CITING ANY TESTS
You uSE.
d) N
2.
3\
+n +|
n +n +|
n=0
lim
2.
nsAn +n+l
2 lim
3.
2lim
2 lim
Vnso
Lim
0.2=
%3D
NH1 IS INCONCLUSIVE.. NEED MORE INED

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