JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{\sqrt{n}}{\sqrt{n}+\sqrt{n+1}}=\]

    A)                 1

    B)                 1/2

    C)                 0

    D)                 \[\infty \]

    Correct Answer: B

    Solution :

                    \[\underset{n\to \infty }{\mathop{\lim }}\,\,\frac{1}{1+\sqrt{1+\frac{1}{n}}}=\frac{1}{2}\].


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