10-seconds challenge-7
Algebra
Level
4
\[ \large \dfrac{x^{100}}{1+x+x^{2}+x^{3}+ \cdots +x^{200}} \]
For \(x>0\), the maximum value of the expression above is \(\dfrac{1}{N}\) for some integer \(N\). Find \(N\).
This is a part of 10-seconds challenge.
by
Yash Dev Lamba