If f(x) is continuous at x=0, where f(x)= 8^x-2^x k^x-1 , for x 0 and f(0) = 2, then the value of k is …..

MHT CET 2026 Mathematics question

If f(x) is continuous at x=0, where , for and f(0) = 2, then the value of k is …..

Answer: (D)

Continuity at requires . The limit is of the form, so divide numerator and denominator by and use :

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Question ID VK-097613