limx→0 ex2−cos⁡xx2 is equal to 

limx0ex2cosxx2 is equal to 

  1. A

    32

  2. B

    12

  3. C

    23

  4. D

    none of these

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    Solution:

    We have, 

    limx0ex2cosxx2=limx0ex21x2+(1cosx)x2=limx0ex21x2+limx01cosxx2=1+12=32

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