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Q.limx0(ax+bx2)x2\displaystyle \lim_{x \to 0} \frac{(a^x + b^x - 2)}{x^2} (a,b>0)(a,b>0) equals

a
aloga+blogb2\dfrac{a \log a + b \log b}{2}
b
logab\log ab
c
loga+logb2\dfrac{\log a + \log b}{2}
d
log(ab)/2\log (ab)/2

Correct Answer: Option C

The correct solution involves applying the fundamental concept to derive the final value step by step...

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