Prove the following: If (xn) converges to x, if x * 0, and if xn #0 for all n 2 1, then there exist real numbers m and M such that 0

Extracted text: Prove the following: If (xn) converges to x, if x * 0, and if xn #0 for all n 2 1, then there exist real numbers m and M such that 0 < m="" s="" |xn|s="" m="" for="" all="" n="" 2="" 1.="" prove="" that="" the="" sequence="" (x,),="" where="" r,="(1+1)"" is="" monotone="" increasing="" and="" bounded.="" conclude="" that="" the="" sequence="">