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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 10

  • question_answer
    If \[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{2}}-1}{x+1}-ax-b \right)=2\], then\[a-b=\]

    A) 1         

    B) 2     

    C) 3                     

    D) 4

    Correct Answer: D

    Solution :

    [d] :\[\underset{x\to \infty }{\mathop{\lim }}\,(x-1-ax-b)=2\] \[\Rightarrow \]\[\underset{x\to \infty }{\mathop{\lim }}\,[(1-a)x-1-b]=2\] \[\Rightarrow \]\[a=1,b=-3\Rightarrow a-b=4\].


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