given the following limit:
$$ \lim _ {x \to 0 } \left (\frac{\tan x } {x} \right ) ^{1/x^2}\;, $$
is there any simple way to calculate it ?
I have tried writing it as $e^ {\ln (\dots)} $ , but it doesn't give me anything [ and I did l'Hospital on the limit I received... ]
can someone help me with this?
thanks a lot !