Home
Class 12
MATHS
{:(" "Lt),(n rarr oo):} [(1)/(1-n^(2))+(...

`{:(" "Lt),(n rarr oo):} [(1)/(1-n^(2))+(2)/(1-n^(2))+...+(n)/(1-n^(2))]=`

A

`1/2`

B

`- 1/2`

C

2

D

-2

Text Solution

Verified by Experts

The correct Answer is:
B
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),(n rarr oo):} [ (1)/(n^(2)) sec^(2). (1)/(n^(2)) + (2)/(n^(2))sec^(2). (4)/(n^(2))+...+1/n sec^(2)1]=

{:(" "Lt),(n rarr oo):} ((n!)/(n^(n)))^(1/n)=

{:(" "Lt),(n rarr oo):}(((2n)!)/(n!n^(n)))^(1/n)=

Lt_(x to oo)[(1)/(n^(2)-1)+(2)/(n^(2)-1)+....+(n)/(n^(2)-1)]=

{:(" "Lt),(n rarr oo):}(1)/(n^(6)){(n+1)^(5)+(n+2)^(5)+...+(2n)^(5)}=

{:(" "Lt),(n rarr oo):}[(1)/(na)+(1)/(na+1)+(1)/(na+2).......+(1)/(nb)]=

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

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

{:(" "Lt),(n rarr oo):}1/n { f(1/n)+f(2/n)+...+f(2)}=