It's been a while since I've practiced limits :s
So I'm asked to find the limit of the sequence tan[4n*pi/(4+16n)]
I take the limit of the things inside the brackets then I will look at what happens at tan(lim.)
I break the fraction apart
lim(n->inf) 4n*pi/4 + lim(n->inf) 4n*pi/16n = inf + pi/4
Now, my question is, because one piece of the partial sum limit was infinity, does the whole thing inside the brackets go to infinity or pi/4? I thought it went to infinity, but I think my homework wants me to say it goes to pi/4 based on an example it gave.
Any help? Thanks