The value of limx→3 3x−x3xx−33, is 

The value of limx33xx3xx33, is 

  1. A

    log31log3+1

  2. B

    log3+1log31

  3. C

    1

  4. D

    none of these 

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    Solution:

    we have, 

    limx33xx3xx32 

    =limx33xloge33x2xx1+logex0   [Using L' Hospital's Rule] 

    =33loge333331+loge3=loge31loge3+1

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