Home
Class 12
MATHS
The value of lim(n rarr infty )n{(1)/(3n...

The value of `lim_(n rarr infty )n{(1)/(3n^(2)+8n+4)+(1)/(3n^(2) +16n+16)+...+n "terms"}` is equal to

A

`(1)/(2) log((9)/(5))`

B

`(1)/(3) log ((9)/(5))`

C

`(1)/(4) log ((9)/(5))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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)n{(1)/(3n^(2)+8n+4)+(1)/(3n^(2)+16n+16)+...+ nterms } is equal to

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

The value of lim_(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

The value of lim_(n rarr oo)(sqrt(3n^(2)-1)-sqrt(2n^(2)-1))/(4n+3) is

The value of lim_(n rarr oo)[3sqrt((n+1)^(2))-3sqrt((n-1)^(2))] is

The value of lim_(n rarr oo)(1/(1-n^4)+8/(1-n^4)+...+n^3/(1-n^4)) is

lim_(n rarr infty ) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is equal to

lim_ (n rarr oo) (n ^ (3) -100n ^ (2) +1) / (100n ^ (2) + 16n)