Limited yet powerful (VIII)
Calculus
Level
4
\[ \large \lim_{x\to 0} (e^{x^2 /2} \cos x)^{1/x^4} \]
If the value of the limit above is equal to \( e^{-a/b} \), where \(a\) and \(b\) are coprime positive integers, find the value of \(a+b\).
by
Noel Lo