Q.Let $f(x) = \begin{cases} \frac{\sin(\pi x)}{\tan(\pi x)} & x \ne n \ k & x = n \end{cases}$ (n integer). For continuity at integers, $k$ equals

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Q.Let f(x)={sin⁡(πx)tan⁡(πx)x≠n kx=nf(x) = \begin{cases} \frac{\sin(\pi x)}{\tan(\pi x)} & x \ne n \ k & x = n \end{cases}f(x)={tan(πx)sin(πx)​​x=n k​x=n​ (n integer). For continuity at integers, kkk equals