Simplify `a/b=((sqrt(m+n))^2+(sqrt(m-n))^2+2.sqrt(m+n).sqrt(m-n))/((sqrt(m+n))^2+(sqrt(m-n))^2-2.sqrt(m+n)sqrt(m-n))`

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

lim_(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]

Evaluate : lim_(n to oo)[(sqrt(n))/((3+4sqrt(n))^(2))+(sqrt(n))/(sqrt(2)(3sqrt(2)+4sqrt(n))^(2))+(sqrt(n))/(sqrt(3)(3sqrt(3)+4sqrt(n))^(2))+.......+(1)/(49n)]

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

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

find the value of m,(sqrt(m+1)+sqrt(m-1))/(sqrt(m+1)-sqrt(m-1))=2m-(1)/(2)

N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(5)+2)-sqrt(3-2sqrt(2)) then the value of N

N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(5)+2)-sqrt(3-2sqrt(2)) then the value of N