The value of limx→1 (1−x)tan⁡πx2, is

The value of limx1(1x)tanπx2, is

  1. A

    π/2

  2. B

    π+2

  3. C

    2/π

  4. D

    none of these 

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    Solution:

    We have,

    limx1(1x)tanπx2=limx1(1x)cotπ2π2x=2πlimx1π2(1x)tanπ2(1x)=2π×1=2π

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