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

Question

anonymous · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

change n to x

change the sumation to integration

and play away

anonymous · Answer

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

anonymous · Answer

Then take the limit?

amistre64 · Answer

right idea yes

amistre64 · Answer

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

amistre64 · Answer

make sure youve got your values right

anonymous · Answer

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

amistre64 · Answer

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 :)