The value of limx→0 ex−cos⁡2x−xx2, is 

The value of limx0excos2xxx2, is 

  1. A

    2

  2. B

    12

  3. C

    32

  4. D

    52

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    Solution:

         limx0excos2xxx2

    =limx0ex1x+(1cos2x)x2=limx0x22!+x33!++2sin2xx2=limx012!+x3!++2sinxx2=12!+2×12=52

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