JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    Which of the following function are periodic?

    A) \[f(x)=log\,\,x,x>0\]

    B) \[f(x)={{e}^{x}},x\in R\]

    C) \[f(x)=x-[x],x\in R\]

    D) \[f(x)=x+[x],x\in R\]

    Correct Answer: C

    Solution :

    [c] \[f(x)=logx\] is not periodic.; \[f(x)={{e}^{x}}\], is not periodic. \[f(x)=x-[x]=\{x\},\] has period \[1;f(x)=x+[x]\], is not periodic.


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