Using the Limit Comparison Test, $$\(\sum_{n=1}^{\infty}\)$$ and $$\(\frac{3 n+1}{(n+1)^{2}}\)$$ will converge because I. The series behaves like $$\(\frac{1}{n}\)$$. II. Applying L'Hôpital's rule gives a limit of 3 .

A.
I only
B.
II only
C.
I and II
D.
The series diverges.
Calculus
AP
College Board
Exam No:AP Calculus Unit 10 Questions Set 2 Year:2024 Question No:APCalculus2024AP0727

Answer:

D

Knowledge points:

10.5 Harmonic Series and p-Series
10.6 Comparison Tests for Convergence

Solution:

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