L'Hopital's Rule? Think it twice!

Calculus Level 5

\[ \large L = \lim_{x\to0} \dfrac{x^2 \sin \frac{1}{x} + 2x}{(1+x)^{1/x} - e} \]

Find the value of the closed form of \(L \) to 3 decimal places.


Inspiration

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