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" 12."lim(x rarr0)(cos x+a^(3)sin b^(6)x...

" 12."lim_(x rarr0)(cos x+a^(3)sin b^(6)x)^((1)/(x))=e^(512)," value of "ab^(2)" is "

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If lim_(x rarr0)(cos x+a^(3)sin(b^(6)x))^((1)/(x))=e^((5)/(2))=e^(512) then the value ab^(2) is equal to

lim_(x rarr0)(1-cos^(3)x)/(x sin2x)