Factorial sum

Calculus Level 5

If \(f(x) \) is a monic \(n^{\text{th}}\) degree polynomial such that \(f(1)=11,f(2)=32,f'''(x)=0\) and \(\displaystyle\sum_{x=1}^{50}[(f(x))(x+1)!]=M\) then find \[\frac{M+2}{52!}\]

×

Problem Loading...

Note Loading...

Set Loading...