Calculus
posted by Anonymous
If the series from n=1 to infinity of n^P converges, then which of the following is false?
a. P < 1
b. the series from n=1 to inf of n^P converges
c. the integral from n=1 to inf of x^P dx is finite
d. the integral from n=1 to inf of x^(P1) dx is finite
e. the integral from n=1 to inf of x^(P2) dx is finite
I think the answer is b, because P must be less than 1 to converge, and P would just be a positive P that would lead the series to diverge.
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