For positive integer n we define \(f(n)\)=\(1^{n}+2^{n-1}+\cdots+(n-2)^{3}+(n-1)^{2}+n^{1}\) then what is the minimum value of \(\frac{f(n+1)}{f(n)}\).

If answer comes in fraction convert into decimal and submit the answer correct to one decimal place

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