Does the Series 1.05^n/n^5 Converge or Diverge?

[lmannoia]

Homework Statement

Summation from 1 to infinity of 1.05^n/n^5

Homework Equations

The Attempt at a Solution

Lost. I'm not sure if the ratio test would apply here.. convergence tests are definitely not my strong point!

 

[micromass]

Does the limit of $$\frac{1,05^n}{n^5}$$ approach 0? What can you conclude from this?

 

[lmannoia]

No, it would approach infinity, right? Meaning that it diverges?

 

[micromass]

Yes, so you can conclude that the series diverges.