Preliminary test for divergence

[Jene]

[imath]ln(n)/n[/imath] find the divergence of the following

 

[topsquark]

[imath]ln(n)/n[/imath] find the divergence of the following

Do you mean [imath]\lim_{n \to \infty } \dfrac{ln(n)}{n}[/imath]? It converges. Why do you think it diverges?

-Dan

 

[BigBeachBanana]

Do you mean [imath]\lim_{n \to \infty } \dfrac{ln(n)}{n}[/imath]? It converges. Why do you think it diverges?

-Dan

I think it's more likely to be the sum i.e. [imath]\sum_{n=1}^{\infty}\frac{\ln(n)}{n}[/imath]

 

[Jene]

Do you mean [imath]\lim_{n \to \infty } \dfrac{ln(n)}{n}[/imath]? It converges. Why do you think it diverges?

-Dan

Yes

 

[topsquark]

Yes

Okay, so why do you think the limit diverges? It converges.

Or are you asking how to calculate the limit?

-Dan