The golden ratio ϕ is defined to be the positive root of x2−x−1=0.
1)ϕ=1+1+1+…
2)ϕ=1+1+1+…11
3) If Fn represents the Fibonacci's sequence then ϕ=n→∞limFnFn+1
4)ϕ implicitly appears in numerous works of art.
How many statments above are true?