Which of the following statements are true? i.If f(n) satisfy the requirements of the integral test, then ∑n=1∞an=∫1∞f(x)dx. ii. The series ∑n=1∞1npconverges if p &gt; 1 and diverges if p≤1. iii. The integral test does not apply to divergent sequences.

Question

Which of the following statements are​ true? i.If f(n) satisfy the requirements of the integral test, then ∑n=1∞an=∫1∞f(x)dx. ii. The series ∑n=1∞1npconverges if p &amp;gt; 1 and diverges if p≤1​​​​​​​. iii. The integral test does not apply to divergent sequences.

Isma Jimenez · Accepted Answer

1)If an and f(n) satisty the requirements of the integral test, then ∑n=1∞an=∫1∞f(x)dx. 2)The series ∑n=1∞1npconvergesifp&amp;gt;1anddivergesifp≤1. 3) The integral test can be applied to both covergent and divergent tested Therefore E.Only statements 1 and 2 are true.

Which of the following statements are true?i.If a_{n} and f(n) satisfy

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