# L'Hospital's Rule?

Calculus Level 4

$\large L = \lim_{x\to0} \dfrac{(1+x)^{1/x} - e + \frac e2 x }{x^2}$

If $$L = ke$$, where $$k$$ is a real number, find the value of $$k$$.

Give your answer to 3 decimal places.

If you think that the limit does not exist, enter 0.666 as your answer.

Clarification: $$e$$ denotes Euler's number, $$e \approx 2.71828$$.

×