[" The value of "],[qquad lim(x rarr oo)...

[" The value of "],[qquad lim_(x rarr oo)((1)/(sqrt(4n^(2)-1))+(1)/(sqrt(4n^(2)-4))+cdots+(1)/(sqrt(4n^(2)-n^(2))))],[" is "],[[" A."(1)/(4)," B."(pi)/(12)],[" C."(pi)/(4)," D."(pi)/(6)]]

Similar Questions

Explore conceptually related problems

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)(1/sqrt(4n^(2)-1)+1/sqrt(4n^(2)-4)+...+1/sqrt(4n^(2)-n^(2))) is -

lim_(n rarr oo)[(1)/(sqrt(2n-1^(2)))+(1)/(sqrt(4n-2^(2)))+(1)/(sqrt(6n-) 3^(2)))+...+(1)/(n)]

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

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

{:(" "Lt),(n rarr oo):} ((1)/(sqrt(4n^(2)-1))+(1)/(sqrt(4n^(2)-2^(2)))+....+(1)/(sqrt(3n^(2))))=

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

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

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