# limit of x <mrow class="MJX-TeXAtom-ORD">

limit of $x/\mathrm{sin}\left(\pi x\right)$ as x approaches zero?
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Eleanor Luna
hint: $\frac{x}{\mathrm{sin}\left(\pi x\right)}=\frac{1}{\pi }\cdot \frac{\pi x}{\mathrm{sin}\left(\pi x\right)}$
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doodverft05
Hint: Show L'Hopital's Rule applies and write
$\underset{x\to 0}{lim}\frac{x}{\mathrm{sin}\left(\pi x\right)}=\underset{x\to 0}{lim}\frac{1}{\pi \mathrm{cos}\left(\pi x\right)}$