Let $0
I want to compute $\lim_{t\to 0} \frac{ (x+\frac{t}{x^2})^a}{t^a}.$
The only thing I can come up with is to use L'Hopital's rule.
Differentiating the denominator and numerator $a$ times I end up with
$\lim_{t\to 0} \frac{ (x+\frac{t}{x^2})^a}{t^a} = \frac{1}{x^{2a}}.$
Is this correct?
Thnx for your help!