so here i am in college math repeating this. Now i usually don't attend lecture b/c its pointless (49/50 on first midterm) since i really do know the stuff...but rite now i wanna rip out my hair....

I can't solve this

lim (1+9/x)^(x/10)

x-->INFINITY

I can't solve that...i noe that it is e^9/10 b/c of my ti89, but i would like to see the steps. I also know the definition of e is the same thing, but the 9 and 10 replaced with a 1

but i can't get this...

Cany anyone help me out? I'm searching sites and i found this http://bradley.bradley.edu/~delgado/121/Lhopital.pdf and on page 5 in the middle it shows the steps to defining "e", but I make no sense of the last few stesps where it goes from "the lim as x approaches inf of 2x/2x" to the next step of "therefore the limit must be 2"...

if anyone can help i'd really appreacite it- thanks