Lt(n-oo)[(1)/(n^(3))+(2^(2))/(n^(3))+......

`Lt_(n-oo)[(1)/(n^(3))+(2^(2))/(n^(3))+.........+(n^(2))/(n^(3))]=`

A

0

B

`1//2`

C

`1//3`

D

none

Text Solution

Verified by Experts

Topper's Solved these Questions

DEFINITE INTEGRATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E|94 Videos
DEFINITE INTEGRATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-1)|6 Videos
DEFINITE INTEGRATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|33 Videos
DE MOIVRE'S THEOREM
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos
DIFFERENTIAL EQUATIONS
DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

Similar Questions

Explore conceptually related problems

Lt_(n rarr oo)[(1n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+(n^(2))/((n+3))+...."to n terms"]

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

Lt_(ntooo)[(1)/(1+n^(3))+(4)/(8+n^(3))+(9)/(27+n^(3))+.......+(1)/(2n)]=

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

Lt_(n rarr oo)[(1+(1)/(n^(2)))^((2)/(n^(2)))(1+(2^(2))/(n^(2)))^((4)/(n^(2)))(1+(3^(2))/(n^(2)))^((6)/(n^(2))).....(1+(n^(2))/(n^(2)))^((2n)/(n^(2)))]

{:(" " Lt),(n rarroo):} [(1^(2))/(n^(3)+1^(3))+(2^(2))/(n^(3)+2^(3))+......+(1)/(2n)]=

Lt_(ntooo)[(1^(3))/(n^(4)+1^(4))+(2^(3))/(n^(4)+2^(4))+.........+(1)/(2n)]=

{:(" "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]=

DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1D

Lt(ntooo)[(1)/(1-n^(2))+(2)/(1-n^(2))+.......+(n)/(1-n^(2))]=
Text Solution
|
Lt(ntooo){(n+1)/(n^(2)+1^(2))+(n+2)/(n^(2)+2^(2))+.......+1/(n)}
Text Solution
|
Lt(n-oo)[(1)/(n^(3))+(2^(2))/(n^(3))+.........+(n^(2))/(n^(3))]=
Text Solution
|
Lt(ntooo)([1+4+9+......+n^(2)])/(n^(3))
Text Solution
|
Lt(ntooo)(1^(9)+2^(9)+3^(9)+.........+n^(9))/(n^(10))=
Text Solution
|
Evaluate the limit . underset(n to 00)("Lt") (1+2^(4)+3^(4)+…….+n^(4...
Text Solution
|
Lt(ntooo)sum(r=1)^(n)(1)/(n)e^(r//pi) is
Text Solution
|
Lt(ntooo)[(1)/(1+n^(3))+(4)/(8+n^(3))+(9)/(27+n^(3))+.......+(1)/(2n)]...
Text Solution
|
Lt(ntooo)[(1^(3))/(n^(4)+1^(4))+(2^(3))/(n^(4)+2^(4))+.........+(1)/(2...
Text Solution
|
By the definition of the definite integral, the value of lim(ntooo)((...
Text Solution
|
Lt(ntooo){(sqrt1+sqrt2+sqrt3+.........+sqrtn)/(nsqrtn)}
Text Solution
|
Evaluate the limit. underset(n to 00)("lim") (sqrt(n+1)+sqrt(n+2)+…...
Text Solution
|
Lt(ntooo)[(sqrt(n^(2)-1^(2)))/(n^(2))+sqrt(n^(2)-2^(2))/(n^(2))+(sqrt(...
Text Solution
|
Lt(ntooo)[(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+(1)/(sqrt((2...
Text Solution
|
Lt(ntooo){(1)/(sqrt(n^(2)+1))+(1)/(sqrt(n^(2)+2^(2)))+.......+(1)/(sqr...
Text Solution
|
Lt(ntooo)[(n^(1//2))/(n^(3//2))+(n^(1//2))/((n+3)^(3//2))+(n^(1//2))/(...
Text Solution
|
Lt(ntooo)(1)/(n){sin^(2)""(pi)/(2n)+sin^(2)""(2pi)/(2n)+..........+sin...
Text Solution
|
Lt(ntooo)(1)/(n)[sec^(2)""(pi)/(4n)+sec^(2)""(2pi)/(4n)+......+sec^(2)...
Text Solution
|
{:(" "Lt),(n rarr oo):} [ (1)/(n^(2)) sec^(2). (1)/(n^(2)) + (2)/(n^(2...
Text Solution
|
Evaluate underset(n to oo)("lim")[(1+(1)/(n))(1+2/n)* * * (1+(n)/(n))...
Text Solution
|