Question

I need help determining if this series converges or diverges, using the integral test.

Answer 1

\[\sum_{n=1}^{infinity} 1/(n^.00001)\]

Answer 2

not sure how to find integral of that a equation i think is my problem

Answer 3

take the intgral of x^(-.00001) from 1 to inf

Answer 4

change n to x

change the sumation to integration

and play away

Answer 5

so would it be like 1.0001x^.99999 evaluated from 1 to infinity?

Answer 6

Then take the limit?

Answer 7

right idea yes

Answer 8

power rule ints up to\[\frac{x^{n+1}}{n+1}\]

Answer 9

make sure youve got your values right

Answer 10

I may be slightly off but im assuming thats the right idea.. Thanks! So I think I found it it diverges

Answer 11

theres something about 1 being a determining factor in this; but i cant recall it that well; id have to reinvent it to be sure :)