Home
Class 12
MATHS
The value of lim(nto oo)(1)/(2) sum(r-1...

The value of ` lim_(nto oo)(1)/(2) sum_(r-1)^(n) ((r)/(n+r))` is equal to

A

`1 - log 2`

B

`log 4-1`

C

` log 2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|34 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|10 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 5|20 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

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

lim_(nto oo) (1)/(n^(2))sum_(r=1)^(n) re^(r//n)=

lim_(n to oo)(1)/(2)" " sum_(r=+1)^(2n) (r)/(sqrt(n^(2)+r^(2))) equals

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

"lim_(n rarr oo)(1)/(n){sum_(r=1)^(n)e^((r)/(n))}=

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :

lim_(n to oo) " " sum_(r=2n+1)^(3n) (n)/(r^(2)-n^(2)) is equal to

If Sigma_(r=1)^(n)t_(r)=(1)/(6)n(n+1)(n+2), AA n ge 1, then the value of lim_(nrarroo)Sigma_(r=1)^(n)(1)/(t_(r)) is equal to

lim_(n to oo) sum_(r=1)^(n) ((r^(3))/(r^(4) + n^(4))) equals to-