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Question

Mathematics Question on Continuity and differentiability

If f(x)={(72)x9x8x+121+cosx;x0\alog2log3;x=0f(x) =\begin{cases}\frac{(72)^x - 9^x -8^x+1}{\sqrt2-\sqrt{1+cosx}} &; x ≠0\\\a\,log2\,log3 & ; x=0\end{cases} is continuous at x = 0. Then a2a^2 equals to

A

1152

B

572

C

1225

D

1005

Answer

1152

Explanation

Solution

The Correct answer is option(A) : 1152