J & K CET Engineering J and K - CET Engineering Solved Paper-2005

  • question_answer
    The point of discontinuity of tan x is

    A)  \[x=n\pi \]        

    B)   \[x=n\pi /6\]

    C)  \[x=(2n+1)\pi /2\]

    D)  \[x=n\pi /3\]

    Correct Answer: C

    Solution :

    Let \[f(x)=\tan \,x\] The point of discontinuity of \[f(x)\] are those points where \[\tan \,x\] is infinite ie, \[\tan x=\tan \frac{\pi }{2}\] \[\therefore \] \[x=(2n+1)\frac{\pi }{2},\,\,n\in I\]


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