Counting on Top, Factorials on Bottom
Algebra
Level
3
\[\dfrac{1}{2!}+\dfrac{2}{3!}+\dfrac{3}{4!}+\cdots+\dfrac{2015}{2016!}\]
If the value of above expression is in the form \(1-\dfrac{1}{a}\), find \(a\).
by
Rohit Udaiwal