How would you use L'Hopital's Rule to find the limit of the following function ???
$\lim_{n \rightarrow 0} \frac{1}{\pi x} \frac{\sin(\frac{\pi x}{2})} { e^{2\pi x}}$
How would you define your $f(x)$ and $g(x)$ ?
Why cant I define $f(x) =\frac{ \sin(\frac{\pi x}{2})} {\pi x}$ and $g(x) = e^{2\pi x}$ instead??