If limx→a ax−xaxx−aa=−1, then the value of a is 

If limxaaxxaxxaa=1, then the value of a is 

  1. A

    1

  2. B

    0

  3. C

    e

  4. D

    none of these

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    We have,

    limxaaxxaxxan=1

     limxaaxlogaaxa1xx(1+logx)=1          [Using L' Hospital's Rule] 

     aalogeaaaa1aa1+logea=1 logea1logea+1=1logea=0a=1

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.