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JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    The value of \[\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{2}}+bx+4}{{{x}^{2}}+ax+5} \right)\] is [MP PET 1993]

    A)                 b/a

    B)                 1

    C)                 0

    D)                 4/5

    Correct Answer: B

    Solution :

                    \[\underset{x\to \infty }{\mathop{\lim }}\,\,\left[ \frac{1+\frac{b}{x}+\frac{4}{{{x}^{2}}}}{1+\frac{a}{x}+\frac{5}{{{x}^{2}}}} \right]=1.\]


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