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

  • question_answer
    Sum to infinity of the series is  \[1+\frac{{{x}^{2}}}{2\,!}+\frac{{{x}^{4}}}{4\,!}+......\] is [MP PET 1994]

    A) \[\frac{{{e}^{x}}-{{e}^{-x}}}{2}\]

    B) \[\frac{{{e}^{x}}+{{e}^{-x}}}{2}\]

    C) \[\frac{{{e}^{-x}}-{{e}^{x}}}{2}\]

    D)   \[\frac{-({{e}^{x}}+{{e}^{-x}})}{2}\]

    Correct Answer: B

    Solution :

    It is obvious.


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