Compute the general term $\displaystyle {a}_{{n}}$ of the series with the partial sum $\displaystyle {S}_{{n}}=\sqrt{{{n}}},{n}>{1}.$

 $\displaystyle {a}_{{n}}=$  Preview Question 6 Part 1 of 2  

If the sequence of partial sums converges, find its limit S.  Otherwise enter DNE.

$\displaystyle {S}=$ Preview Question 6 Part 2 of 2