Question

Please help me find the following limit using L'Hopital's rule...(click to see)

Answer 1

\[\lim_{x \rightarrow \infty }xsin(\frac{ \pi}{ x } )\]

Answer 2

Is there a more simple route than converting to x/csc(pi/x)

Answer 3

maybe convert it to
\[\frac{\sin(\frac{\pi}{x})}{\frac{1}{x}}\]

Answer 4

ok ill try that