If f(x)=4x−13sin⁡(x/4)log⁡1+x2/3,x≠0k,x=0 is continuous at  x = 0, then  k =  

If f(x)=4x13sin(x/4)log1+x2/3,x0k,x=0 

is continuous at  x = 0, then  k =  

  1. A

    12loge42

  2. B

    96(log2)3

  3. C

    loge43

  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:

    N Since  f (x)  is continuous at  x = 0. Therefore,

    limx0f(x)=f(0)limx04x13sinx4log1+x23=klimx0124x13xsinx4x/4log1+x2/3x2/3=k

     12(log4)3=kk=96(log2)3

    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.