Consider the function
\(f(x)=\sqrt{2+x}\) for x ≥ -2 and the iteration
xn+1 = f(xn); n ≥ 0 for x0 = 0
What are the possible limits of the iteration?
1
\(\sqrt{2+\sqrt{2+\sqrt{2+\cdots}}}\)
2
-1
3
2
4
1
Consider the function
\(f(x)=\sqrt{2+x}\) for x ≥ -2 and the iteration
xn+1 = f(xn); n ≥ 0 for x0 = 0
What are the possible limits of the iteration?