If then, . If , then and the integral is divergent. If then, . Easily proved:
I have the following question, I have to find the values of a for which the indefinite integral of x^{-a} from 1 to infinity diverge.
Substitution h for infinity I get: limit h->0 (1/(a-1)-h1^{-y}/(a-1))
So it diverges only for a=1 because there the limit is not defined! Is this correct?