Question

the sequence of {x^n} converges when?​

Answer 1

Answer:

Theorem 2.6: Suppose (xn) is a bounded and decreasing sequence. Then the greatest lower bound of the set {xn : n ∈ N} is the limit of (xn). 0 ≤ xn ≤ 2 and (xn) is increasing. Therefore, by previous result (xn) converges.