JEE Main & Advanced Mathematics Functions Question Bank Limits

  • question_answer
    \[\underset{x\to 0+}{\mathop{\lim }}\,\frac{x{{e}^{1/x}}}{1+{{e}^{1/x}}}=\]

    A)                 0

    B)                 1

    C)                 \[\infty \]

    D)                 None of these

    Correct Answer: A

    Solution :

                    \[\underset{x\to 0+}{\mathop{\lim }}\,\frac{x}{1+{{e}^{-1/x}}}=0\] as \[{{e}^{-1/x}}\to 0\] when \[x\to {{0}^{+}}\]


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