Does the sequence converge or diverge? an= square root(n)/(1 + square root(n))
J jellybean New member Joined Feb 9, 2006 Messages 10 Mar 31, 2006 #1 Does the sequence converge or diverge? an= square root(n)/(1 + square root(n))
G Gene Senior Member Joined Oct 8, 2003 Messages 1,904 Mar 31, 2006 #2 a<sub>n</sub> = 1/(1/sqrt(n)+1) as n->oo a<sub>n</sub> -> ?
J jellybean New member Joined Feb 9, 2006 Messages 10 Mar 31, 2006 #3 so what do i plug into the equation? 0? thanks for the help.
G Gene Senior Member Joined Oct 8, 2003 Messages 1,904 Mar 31, 2006 #4 oo is infinity. As n -> oo 1/sqrt(n) -> 0 so a<sub>n</sub> -> 1/(0+1) = 1
