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f(x) is polynomial function of degree 6,...

`f(x)` is polynomial function of degree 6, which satisfies `("lim")_(x_vec_0)(1+(f(x))/(x^3))^(1/x)=e^2` and has local maximum at `x=1` and local minimum at `x=0a n dx=2.` then 5f(3) is equal to

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