Apply the root test to the following series. lim n→∞ |an| - a. Compute the root and its limit. Simplify the root. Give an exact answer for the limit if it is a number. Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. lim n→∞ n=1 Conclusion: ? 1 n = 2n b. Based on your answer in Part a., determine whether the series converges, diverges, or that the root test is inconclusive. because the limit in Part a. is ? ↑
Apply the root test to the following series. lim n→∞ |an| - a. Compute the root and its limit. Simplify the root. Give an exact answer for the limit if it is a number. Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. lim n→∞ n=1 Conclusion: ? 1 n = 2n b. Based on your answer in Part a., determine whether the series converges, diverges, or that the root test is inconclusive. because the limit in Part a. is ? ↑
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
The blank boxes are: The series converges, the series diverges, the root test is inconclusive and
Greater than 1, less than 1, equal to 1.
Please clearly label answers in response, thanks!
Transcribed Image Text:Apply the root test to the following series.
liman
n→∞
=
a. Compute the root and its limit. Simplify the root. Give an exact answer for the limit if it is a number.
Otherwise, enter ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way.
lim
n→∞
n=1
Conclusion: ?
FI
1
n
=
2n
I-
b. Based on your answer in Part a., determine whether the series converges, diverges, or that the root test is
inconclusive.
because the limit in Part a. is ?
î
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