JEE Main & Advanced Mathematics Functions Question Bank Limits

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

    A)                 e

    B)                 \[\frac{1}{e}\]

    C)                 \[{{e}^{2}}\]

    D)                 None of these

    Correct Answer: C

    Solution :

                    \[{{\left[ \underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1+\frac{1}{x/2} \right)}^{x/2}} \right]}^{2}}={{e}^{2}}.\]


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