Evaluate : lim(n to oo)[(sqrt(n))/((3+4s...

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)]`

Verified by Experts

The correct Answer is:

`(1)/(14)`

Similar Questions

Explore conceptually related problems

lim_(n rarr oo)(3+sqrt(n))/(sqrt(n))

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

lim_(n rarr oo)n[sqrt(n+1)-sqrt(n))]

Evaluate: ("lim")_(n rarr oo)(1/(sqrt(4n^2-1))+1/(sqrt(4n^2-2^2))++1/(sqrt(3n^2)))

The value of ("lim")_(n rarr oo)sum_(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+sqrt(n))^2) is equal to

The value of lim_(n->oo)(sqrt(1)+sqrt(2)+sqrt(3)+.....+sqrt(n))/(nsqrt(n)) is

lim_(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

The value of : lim_(ntooo)((1)/(sqrtn sqrt(n+1))+(1)/(sqrtn sqrt(n+2))+ (1)/(sqrtn sqrt(n +3)) + ...... +(1)/(sqrtn sqrt(2n))) is:

Evaluate: lim_(x->oo)((sqrt(x^2+1)- ^3sqrt(x^2+1)) / (4sqrt(x^4+1) -^5sqrt(x^4+1 )))

lim_(n to oo)(1)/(n)(1+sqrt((n)/(n+1))+sqrt((n)/(n+2))+....+sqrt((n)/(4n-3))) is equal to: