hello, sorry for using my first post on this help forum ^^; I've been trying to ask this question everywhere on the net and no one seems to be able to help. So I'm trying here. Anyway

**I'm trying to find the limit of x tan (8/x) as x approaches to infinity, using the l'hospital's rule.**
So far I've applied the rule, but I'm stuck at the last part. Here's my work so far.

Using the l'hospital's rule it turned out like this:

+the

's cancel out leaving me with

so now this is where I'm stuck...When you input infinity in (8/x) , I can't seem to find where the values are heading to... for some examples

[tex]8/90 = 0.08888~

so.. would these values be heading towards 0 ? For my final answer I ended up getting, sec^2 (0) = 1 ... I think I made a mistake around here somehwere, but I don't know what.

if you can help, it would be greatly appreciated!