Home
Class 12
MATHS
The value o lim(xtooo)(1/(n^(3)))([1^(2)...

The value o `lim_(xtooo)(1/(n^(3)))([1^(2)x+1^(2)]+[2^(2)x+2^(2)]+…..+[n^(2)x+n^(2)])` is where [.] denotes the greatest integer function.

A

`x/3`

B

`x+1/3`

C

`x/3+1/3`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

int_(-1)^(41//2)e^(2x-[2x])dx , where [*] denotes the greatest integer function.

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

int_(-1)^(2)[([x])/(1+x^(2))]dx , where [.] denotes the greatest integer function, is equal to

The value of lim_(xtooo){lim_(ntooo)([1^(2)(sinx)^(x)]+[2^(2)(sinx)^(x)]+……….+[n^(2)(sinx)^(x)])/(n^(3))} is (wehre [.] denotes the greatest integer function)

f(x) = lim_(n->oo) sin^(2n)(pix)+[x+1/2] , where [.] denotes the greatest integer function, is

Given lim_(x to 0)(f(x))/(x^(2))=2 , where [.] denotes the greatest integer function, then

The value of int_(-1)^(1)sin^(-1)[x^(2)+(1)/(2)]dx+int_(-1)^(1) cos^(-1)[x^(2)-(1)/(2)]dx , where [.] denotes the greatest integer function , is

The value of int_(0)^(2)[x^(2)-1]dx , where [x] denotes the greatest integer function, is given by:

The value of int _(1)^(2)(x^([x^(2)])+[x^(2)]^(x)) d x is equal to where [.] denotes the greatest integer function