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

If `underset(xto0)lim(f(x))/(sin^(2)x)=8,underset(xto0)lim(g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and "`
`underset(xto0)lim(1+2f(x))^((1)/(g(x)))=(1)/(e)," then"`
The value of `lamda` is

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