lim of (a^x-a^-x-2)/(x^2) as x->0
Find the value of the limit^.
The answer is (lna)^2
I know how to get the answer using L'Hospital.
However, I do not want to use Hospital's rule.
I think I see the pattern with the special limit:
lim of (e^x-1)/x as x->0
But I just don't see how I can apply that. I tried to take ln() out of everything, but it leads me to nowhere.
Please help me.