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Limits Continuity and Differentiability question

2024 · 4 Apr · Shift 2 · Q34

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 4 Apr · Shift 2 · Q34

Limits Continuity and Differentiability question

2024 · 4 Apr · Shift 2 · Q34

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If the function

f(x)= \begin{cases}\frac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}}, & x eq 0 \\ a \log _e 2 \log _e 3 & , x=0\end{cases}

is continuous at

x=0

, then the value of

a^2

is equal to

A
968
B
1250
C
1152
D
746

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