Least integral value..

Calculus Level 4

Find the least integral value of \[f(x)=\dfrac{(x-1)^7+3.(x-1)^6+(x-1)^5+1}{(x-1)^5} \quad \quad , \forall x>1\]

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