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Let xnx_nxn be a positive root of the equation xn=x2+x+1.x^n = x^2 + x + 1.xn=x2+x+1.
Find exp(limn→∞n(xn−1)).\displaystyle \exp\Big(\lim_{n \to \infty} n\left(x_n - 1\right)\Big).exp(n→∞limn(xn−1)).
Notation: exp(a)=ea\exp( a ) = e^aexp(a)=ea
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