Home
Class 12
MATHS
The value of lim(nto oo)(sqrt(n^(2)+n+1)...

The value of `lim_(nto oo)(sqrt(n^(2)+n+1)-[sqrt(n^(2)+n+1)])` where [.] denotes the greatest integer function is

A

0

B

`1//2`

C

`2//3`

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|1 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|38 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

lim_(xto0)[(-2x)/(tanx)] , where [.] denotes greatest integer function is

The value of lim(n->oo)((1.5)^n + [(1 + 0.0001)^(10000)]^n)^(1/n) , where [.] denotes the greatest integer function is:

Solve lim_(xtooo) [tan^(-1)x] (where [.] denotes greatest integer function)

The value of lim_(xtoa)[sqrt(2-x)] , where a in[0,1/2] and [.] denotes the greatest integer function is:

Range of f(x)=[1/(log(x^(2)+e))]+1/sqrt(1+x^(2)), where [*] denotes greatest integer function, is

The value of int_0^(pi/4)(tan^n(x-[x])+tan^(n-2)(x-[x]))dx (where, [ ] denotes greatest integer function) is equal to

Evaluate int_0^a[x^n]dx, (where,[*] denotes the greatest integer function).

The value of lim_(xto 0)[(sinx.tanx)/(x^(2))] is …….. (where [.] denotes greatest integer function).

The value of lim_(xto0)(sin[x])/([x]) (where [.] denotes the greatest integer function) is