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!