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If f(x)=(x-1)^(100)*(x-2)^(2(99))*(x-3)^...

If `f(x)=(x-1)^(100)*(x-2)^(2(99))*(x-3)^(3(98))..........(x-100)^(100)` then the value of `(f^(')(101))/(f(101))=k,` then `(k)/(2525)=`

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