MHB Determining if the sequence convergers or diverges

[shamieh]

Determine if the sequence converges ot diverges. If it converges, find the limit

$$\frac{tan^{-1} n}{n}$$

So I'm thinking that I can say tan inverse is $$\frac{\frac{\pi}{2}}{n}$$ as n--> infinity is going to be some number over infinity = 0? so therefore it converges to 0?

 

[Prove It]

Determine if the sequence converges ot diverges. If it converges, find the limit

$$\frac{tan^{-1} n}{n}$$

So I'm thinking that I can say tan inverse is $$\frac{\frac{\pi}{2}}{n}$$ as n--> infinity is going to be some number over infinity = 0? so therefore it converges to 0?

Yes, since your top goes to a finite value and your bottom gets infinitely larger, the limit of this function is 0. So yes your sequence converges to 0.