Limit using L'hospital and maybe another trick
Hi, I've been sitting on this more than an hour and still can't find the solution :(
I put this in a function grapher and it looks like the result should be , but I don't understand why this is true or how do I get to this solution. I assume that L'hospital should be used and supposedly there's another trick?
Thanks in advance
Simplifying the derivation
Actually, you can greatly simplify the derivation if you put y=1/x in the limit.
the equation becomes
applying l'hospital's rule, we get
Since the left hand side is e, we apply l'hospital again to the right side
Applying l'hospital again, we get