Calculus: Which statement is false. I chose 2nd option, but Not sure.

Question

Which of the following statements is false?

	The nth term test can never be used to show that a series converges.
	The integral test cannot be applied to a series in which not all the terms are positive.
	The series  converges if p > 1 and diverges if 0 < p ≤ 1.
	If an and f(x) satisfy the requirements of the Integral Test, and if  converges, then  .

Answer 1

The false one is number 4. The seris does convere but not to the same value that the improper integral converges.