MCQMediumJEE Main 2024 · 4 April, Shift 2Limits

Mathematics Question from JEE Main 2024 · 4 April, Shift 2

If the function

f(x)={72x9x8x+121+cosx,x0aloge2loge3,x=0f(x) = \begin{cases} \dfrac{72^{x} - 9^{x} - 8^{x} + 1}{\sqrt{2} - \sqrt{1 + \cos x}}, & x \ne 0 \\[2ex] a\,\log_e 2\,\log_e 3, & x = 0 \end{cases}

is continuous at x=0x = 0, then the value of a2a^2 is equal to:

  • A

    968968

  • B

    11521152

  • C

    746746

  • D

    12501250

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