For a given M value, what are the possible N values for the limit \lim_{n\to\infty}\frac{n^2-1}{n+1}=\infty?. 

Note that Iff \forall M\in \mathbb{R}^+\exists N\in \mathbb{Z}^+\forall n\in \mathbb{Z}^+,n>N\Rightarrow u_n>M then \lim_{n\to \infty}u_n=\infty.

Here [M] is the integer part of M.

Consider the Fibonacci Sequence recursively defined by F_{n+2}=F_{n+1}+F_n for all n\geq 1 with F_1=F_2=1. Define another sequence u_n=\frac{F_{n+1}}{F_n}. Also the Golden ratio \phi is the positive root of \phi^2-\phi-1=0 and \psi is the negative root. Which of the following are True?

A value which is greater than or equal to |a+b|+|a-b| is