Having now looked at the definition of the limit of a sequence and some associated terms, see if you can show that the sequence defined by
\[u_n=\sqrt{n+1}-\sqrt{n}\]
converges.
Having now looked at the definition of the limit of a sequence and some associated terms, see if you can show that the sequence defined by
\[u_n=\sqrt{n+1}-\sqrt{n}\]
converges.