Can you solve it?
Calculus
Level
4
\[ \large L = \lim_{x\to0} \left(\frac{(1+x)^{1/x}}{e}\right)^{\dfrac{1}{\sin{x}}} \]
If \(L = e^k \), where \(k \) is a real number, find the value of \(k\).
Clarification: \(e\) denotes Euler's number, \(e \approx 2.71828\).
by
Sambhrant Sachan