The sequence doesn't converge... its square ? ...
1. If the sequence {an^2} converges, then the sequence {an} also converges.
Is this true or false?
I think it is true because if {an^2} converges to a number a^2, i.e. |an^2-a^2| < e, then {an}will converge to a,which is the square root of a^2?
Any suggestions or corrections?