The value of limn→∞ cos⁡xnn, is 

The value of limncosxnn, is 

  1. A

    e

  2. B

    e-1

  3. C

    1

  4. D

    none of these 

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    Solution:

    we have,

    limncosxnn=limn1+cosxn1n=limn12sin2x2nn

    =elimn2nsin2x2n

    =elimnsinx2nx/2n2×12n

    =e1×0=e0=1

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