Series with divergence: Quick easy question

[MitsuShai]

Homework Statement

http://i324.photobucket.com/albums/k327/ProtoGirlEXE/q8.jpg

Attempt to the solution:
ok I got that it only converges on (1,infinity) because I solved it and q>1 is where it only converges, so for the rest it diverges.
But I'm having trouble with putting the divergency in interval notation because some people where saying it was divergent on (1, infinity) and I typed that in and got it wrong

and I typed in [0,1] on accident and without thinking

but now I'm thinking it's divergent from (-infinity, 1], am I right?

 

[hunt_mat]

Have you tried to use the integral test? You integrate:
<br /> \int\frac{dx}{x(\ln x)^{q}}<br />

 

[MitsuShai]

Have you tried to use the integral test? You integrate:
<br /> \int\frac{dx}{x(\ln x)^{q}}<br />

yeah u=lnx du=1/x
= u^(-q+1)= (ln x)^(1-q)/(1-q)

 

[MitsuShai]

Have you tried to use the integral test? You integrate:
<br /> \int\frac{dx}{x(\ln x)^{q}}<br />

Could you explain why I have to do the integral test to find what integral it diverges?

 

[MitsuShai]

nevermind my answer was right.