Q.The function $f(x)=\begin{cases} \frac{\sin(\pi x)}{\tan(\pi x)} & x\ne k \ 1 & x=k \end{cases}$ , for integer $k$ , is

continuous at integers

discontinuous at integers

not defined at integers

none

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.The function f(x)={sin⁡(πx)tan⁡(πx)x≠k 1x=kf(x)=\begin{cases} \frac{\sin(\pi x)}{\tan(\pi x)} & x\ne k \ 1 & x=k \end{cases}f(x)={tan(πx)sin(πx)​​x=k 1​x=k​, for integer kkk, is