I'm having trouble with a couple homework problems...can anyone help????

#1. Find the limit as x approaches 0:

6x-sin(6x)/6x-tan(6x)

I know I'm supposed to use L'Hospitals rule here, but when I do it, I get 1, which is apparently wrong. I think I might be differentiating wrong....

#2. Find the limit as x approaches infinity:

xtan(8/x)

Please help!!!