RAJASTHAN ­ PET Rajasthan PET Solved Paper-2006

  • question_answer
    If\[f(x)=\frac{\sin x}{x},\]then the value of\[\underset{x\to \infty }{\mathop{\lim }}\,f(x)\]is

    A)  \[-1\]              

    B)  0

    C)  1               

    D)  None of these

    Correct Answer: B

    Solution :

     Given, \[f(x)=\frac{\sin x}{x}\] \[\therefore \] \[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sin x}{x}=\underset{x\to \infty }{\mathop{\lim }}\,\frac{1}{x}.\underset{x\to \infty }{\mathop{\lim }}\,\sin x\] \[=0\times \] finite value \[=0\]


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