`lim_(n rarr oo)((sqrt(n+3)-sqrt(n+2))/(sqrt(n+2)-sqrt(n+1)))`

lim_(n rarr oo)(sqrt(n+1)-sqrt(n))=0

lim_(n rarr oo)(1+sqrt(n))/(1-sqrt(n))

lim_(n rarr oo) sqrt(n)/sqrt(n+1)=

lim_(n rarr oo)(1)/(sqrt(n)sqrt(n+1))+(1)/(sqrt(n)sqrt(n+2))+......+(1)/(sqrt(n)sqrt(4n))

lim_(n rarr oo)(sqrt(n^(2)+n)-sqrt(n^2+1))

The value of lim_(xrarroo)(sqrt(n^2+1)+sqrt(n))/(4sqrt(n^4+n)+4sqrt(n)) , is

lim_(n rarr4)(sqrt(2n+1)-3)/(sqrt(n-1)-sqrt(2))

lim_ (n rarr oo) (sin (n theta)) / (sqrt (n))

If nEN and a_(n)=2^(2)+4^(2)+6^(2)+....+(2n)^(2) and b=1^(2)+3^(2)+5^(2)+...(2n-1)^(2). Find the value lim_(n rarr oo)((sqrt(a_(n))-sqrt(b_(n)))/(sqrt(n)))

lim_(nrarroo)(sqrt1+sqrt2+…+sqrt(n-1))/(nsqrtn)=