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if f(x) is a polynomial of degree 6. Which satisfies `lim_(h to 0) (1+(f(x))/(x^(3)))^(1//x) =e^(2)` and has local maximum at x=1 and local minimum at x=0 and x=2 then the value of `((5)/(9))^(4) f((18)/(5))` is :

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If f(x) is a polynomial of degree 6, which satisfies lim_(x rarr0)(1+((f(x))/(x^(3))))^((1)/(x))=e^(2) and local minimum at x=1 and has local maximum at x=0 and x=2, then the value of ((5)/(9))^(4)f((18)/(5)) is :

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