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Calculus Level 4

For $$2<x<5$$ the greatest value of $$(5-x)^{2}.(x-2)^{5}$$ is at $$x=\frac{a}{b}$$ ,

Enter value of $$a \times b$$ as your answer.

###### You can try my other Sequences And Series problems by clicking here : Part II and here : Part I.
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