Which of the following statements is true? (4 points)
A) The nth term test can never be used to show that a series converges.
B) The integral test can be applied to a series even if all the terms are not positive.
C) The series the summation from n equals 1 to infinity of 1 over n raised to the p power converges if p < 1 and diverges if p > 1.
D) If an and f(x) satisfy the requirements of the Integral Test, and if the integral from 1 to infinity of f of x, dx converges, then the summation from n equals 1 to infinity of a sub n equals the integral from 1 to infinity of f of x, dx .
3 answers
C is for sure false; did you try out the others?
Are you sure? I tried the others and all them were false except C and D. I am not sure though, you might be right? Is it C or D.
A only true