Which of the following statements concerning the sequence \{\}$$\(\epsilon_{n} \quad \frac{n}{2 n^{2}-3}\)$$ is true?

A.
Both \(\left\{a_{n}\right\}\) and \(\sum_{n=1}^{\infty} a_{n}\) are convergent.
B.
\(\left\{a_{n}\right\}\) is convergent, but \(\sum_{n=1}^{\infty} a_{n}\) is divergent.
C.
\(\left\{a_{n}\right\}\) is divergent, but \(\sum_{n=1}^{\infty} a_{n}\) is convergent.
D.
Both \(\left\{a_{n}\right\}\) and \(\sum_{n=1}^{\infty} a_{n}\) are divergent.
Calculus
AP
College Board
Exam No:AP Calculus Unit 10 Questions Set 2 Year:2024 Question No:APCalculus2024AP0718

Answer:

B

Knowledge points:

10.1 Defining Convergent and Divergent Infinite Series
10.3 The nth Term Test for Divergence

Solution:

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