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BCECE Engineering BCECE Engineering Solved Paper-2004

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

    A)  0                            

    B)         1                            

    C)         does not exist  

    D)         none of these

    Correct Answer: D

    Solution :

    \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{e}^{1/x}}}{{{e}^{(1/x)+1}}}\] \[=\underset{x\to 0}{\mathop{\lim }}\,\frac{{{e}^{1/x}}}{{{e}^{1/x}}.e}=\frac{1}{e}\]


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