JEE Main & Advanced Mathematics Sequence & Series Question Bank Exponential series

  • question_answer
    Which of the following is not true   [Kurukshetra CEE 1996]

    A) \[\log (1+x)<x\] for \[x>0\]

    B) \[\frac{x}{1+x}<\log (1+x)\]for \[x>0\]

    C) \[{{e}^{x}}>1+x\] for \[x>0\]

    D) \[{{e}^{-x}}<1-x\] for \[x>0\]

    Correct Answer: D

    Solution :

     Putting different values of x > 0, in options, we get options (b) and (d) are not true.


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