Which of the following statements are​ true?i.If a_{n} and f(n) satisfy the requirements of the integral test, then \sum_{n=1}^{\infty} a_n = \int_1^{\infty} f(x)dx.ii.

preprekomW

preprekomW

Answered question

2021-06-11

Which of the following statements are​ true?
i.If an and f(n) satisfy the requirements of the integral test, then n=1an=1f(x)dx
ii. The series n=11np converges if p>1 and diverges if p1.
iii. The integral test does not apply to divergent sequences.

Answer & Explanation

Nathanael Webber

Nathanael Webber

Skilled2021-06-12Added 117 answers

1)If an and f(n) satisty the requirements of the integral test, then n=1an=1f(x)dx
2)The series n=11np converges if p>1 and diverges if p1.
3) Both the divergent and covergent tests shown here, E, can be subjected to the integral test. Only claims 1 and 2 are accurate.

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