Limit of Exponents and Sinusoidal Functions
Calculus
Level
4
Evaluate the following limit:
\[\large L = \lim_{x\to 0} \left(\dfrac{\sin(x)}{x}\right)^{\frac{1}{1-\cos(x)}}\]
Find the value of \(\lfloor 1000L \rfloor\).
by
Ariel Gershon