The value of lim(nrarroo)((1)/(2n)+(1)/(...

The value of `lim_(nrarroo)((1)/(2n)+(1)/(2n+1)+(1)/(2n+2)+…..+(1)/(4n))` is equal to

A

`e^(2)`

B

ln 2

C

ln 4

D

3 ln 2

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

lim_(nto oo) {(1)/(n+1)+(1)/(n+2)+(1)/(n+3)+...+(1)/(n+n)} is, equal to

lim_(n to oo) {(1)/(n)+(1)/(n+1)+(1)/(n+2)+...+(1)/(3n)}=

lim_(nrarroo) [1/(1+n)+(1)/(2+n)+(1)/(3+n)+"....."+(1)/(5n)]

The value of lim_(nrarroo)Sigma_(r=1)^(n)((2r)/(n^(2)))e^((r^(2))/(n^(2))) is equal to

The value of lim_(n rarr infty) (1)/(n) {(n+1)(n+2)(n+3)…(n+n)}^(1//n) is equal to

The value of lim_(nrarroo)(1^(2)-2^(2)+3^(2)-4^(2)+5^(2)….+(2n+1)^(2))/(n^(2)) is equal to

The value of lim_(n to oo)(1)/(n).sum_(r=1)^(2n)(r)/(sqrt(n^(2)+r^(2))) is equal to

Evaluate lim_(nrarrinfty)((1)/(2n+1)+(1)/(2n+2)+......+(1)/(6n)) .

The value of lim_(xtooo) {(1)/(3)+(2)/(21)+(3)/(91)+...+(n)/(n^4+n^2+1)} , is

The value of lim_(nrarroo)(cos.(x)/(2)cos.(x)/(4)cos.(x)/(8)………cos.(x)/(2^(n+1))) is equal to