14n 11n2+7 n=1 (a) Evaluate the following limit. lim 14n n++∞ √√√11n² +7 = If the sequence diverges, write "Diverges". (b) What does the nth term test for convergence tell you about this series? A. It diverges B. It converges C. None of the above

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 13PT: Use the formula for the sum of the first n terms of a geometric series to find k=170.2(5)k1 .
Question
14n
11n2+7
n=1
(a) Evaluate the following limit.
lim
14n
n++∞ √√√11n² +7
=
If the sequence diverges, write "Diverges".
(b) What does the nth term test for convergence tell you
about this series?
A. It diverges
B. It converges
C. None of the above
Transcribed Image Text:14n 11n2+7 n=1 (a) Evaluate the following limit. lim 14n n++∞ √√√11n² +7 = If the sequence diverges, write "Diverges". (b) What does the nth term test for convergence tell you about this series? A. It diverges B. It converges C. None of the above
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