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If lim (xto0)(f(x))/(sin ^(2)x) = 8, lim...

If `lim _(xto0)(f(x))/(sin ^(2)x) = 8, lim _(xto0) (g(x))/( 2 cos x-ye ^(x) + x^(3) +x-2)=lamda and lim _(xto0) (1+2f(x)) ^((1)/(g(x)))=1/e,` then `lamda=`

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