Question posed by my peruvian teacher of calculus
Calculus
Level
4
\[L= \large \lim_{x \to 1} \frac { \sqrt[3]{x} - \sqrt{x} }{1 - x} \]
If \(L\) can be expressed as \( \frac a b \), where \(a,b\) are coprime positive integers, what is the value of \(a+b\)?
Remark: try not to use L'Hôpital's rule.
by
Mikael Marcondes