1. ## Sequences

Hey, I need help with the following problem:

Determine whether the sequence converges or diverges. If it converges, find the limit.

an=tan[(2npi)/(1+8n)]

Thanks!

2. Originally Posted by luckeyduck
Hey, I need help with the following problem:

Determine whether the sequence converges or diverges. If it converges, find the limit.

an=tan[(2npi)/(1+8n)]

Thanks!
Note $(2\pi n)/(8n+1)\to \pi/4$. Since $\tan$ is continous, by definition, $\tan (2\pi n/(8n+1))\to \tan \pi/4= 1$.