Home
Class 12
MATHS
Lt(ntooo)sum(r=1)^(n)(1)/(n)[sqrt ((n+r)...

`Lt_(ntooo)sum_(r=1)^(n)(1)/(n)[sqrt ((n+r)/(n-r))]`

A

`pi/2`

B

`2pi`

C

`pi/2 -1`

D

`pi/2 +1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - II|156 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|23 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

Lt_(ntooo)sum_(r=0)^(n-1)(1)/(n+r)=

Lt_(ntooo)sum_(r=1)^(n-1)(1)/(sqrt(n^(2)-r^(2)))=

Lt_(ntooo)sum_(r=1)^(n)(1)/(sqrt(4n^(2)-r^(2)))=

Lt_(ntooo)sum_(r=1)^(n)(1)/(n)e^(r//pi) is

Lt_(ntooo)sum_(r=0)^(n-1)(n)/(n^(2)+r^(2))=

Lt_(ntooo)(1)/(n)sum_(r=1)^(2n)(r)/(sqrt(n^(2)+r^(2)))=

Lt_(n rarr oo) sum_(r=1)^(n)[(1)/(sqrt(4n^(2) - r^(2)))]

Find Lt(n rarr oo) sum_(r=0)^(n-1)(1)/(sqrt(n^(2) - r^(2))

Lt_(n rarr oo)sum_(r=0)^(n-1)((r)/(n^(2) + r^(2)))