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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??

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