C is the Riemann zeta function ζ(p)
you can read about it online
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 .
YOU: C is for sure false; did you try out the others?
Me: 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 A or D.
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3 answers