Leaps and bounds
Calculus
Level
3
Let \(x_n\) be a positive root of the equation \(x^n = x^2 + x + 1.\)
Find \(\displaystyle \exp\Big(\lim_{n \to \infty} n\left(x_n - 1\right)\Big).\)
\(\)
Notation: \(\exp( a ) = e^a\)
by
Zach Abueg