The value of limx→π/2 cot⁡x−cos⁡x(π−2x)3, is

The value of limxπ/2cotxcosx(π2x)3, is

  1. A

    12

  2. B

    14

  3. C

    18

  4. D

    116

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    Solution:

    We have,

    limxπ/2cotxcosx(π2x)3=limxπ/2tanπ2xsinπ2x8π2x3=18×12=116

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