Home
Class 12
MATHS
If l(x) is the least interger not less t...

If `l(x)` is the least interger not less than `x and g(x)` is the greatest integer not greater than x, then `lim _(xto pi +e) [l (x) +g(x)]` is equal to-

A

11

B

10

C

9

D

12

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

lim _(xto3)[x] is equal to-

Draw the graph of the function y = [x], where [x] denotes the greatest integer not greater than x.

if [x] denotes the greatest integer less than or equal to x then integral int_0^2x^2[x] dx equals

Let [x] denotes the greatest integer less then or equal to x. If x=(sqrt3+1)^5 , then [x] is equal to

If a and b are positive and [x] denotes greatest integer less than or equal to x, then find lim_(xto0^(+)) x/a[(b)/(x)].

Let [x] denotes the greatest integer less than or equal to x. If f(x) =[x sin pi x] , then f(x) is

Let [x] denote the greatest integer less than or equal to x for any real number x. Then lim_(n to oo) ([n sqrt(2)])/(n) is equal to

Let I=int_(-2)^(2)(x-[x])dx where [x] represents the greatest integer in x not greater than x. Then the value of I is -

underset(xto0)lim(sin^(-1)x)/(x) is equal to -

Let [x] denote the greatest integer less than or equal to x, then the value of the integral int_(-1)^(1)(|x|-2[x])dx is equal to-

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 6
  1. If phi is the empty set then which one of the following is correct ?

    Text Solution

    |

  2. Let f (x)= [x] where [x] denotes the greatest integer contained in x. ...

    Text Solution

    |

  3. Let A, B, C be any three non-empty sets. If A uuB= A uuC, then which o...

    Text Solution

    |

  4. Suppose S and S' are foci of the dllipse (x^(2))/(25) + (y^(2))/(16) =...

    Text Solution

    |

  5. In a class containing 120 students, 65 students dring tea and 84 stude...

    Text Solution

    |

  6. The number of elements in the set {(a,b), 2a^(2) +3b^(2) =35, a, b, in...

    Text Solution

    |

  7. Which one of the following is correct for the graph of y=|x| ?

    Text Solution

    |

  8. The value of lim (hto0) 1/h[(1)/(""^(3)sqrt(8+h))-1/2] is-

    Text Solution

    |

  9. If f, RR to RR is defined by f (x) ={{:((x-2)/(x ^(2) -3x+2)"," ,"when...

    Text Solution

    |

  10. If f(x) =lx ^(2) +mx+n, then the value of (f(x+3) -f(x))/(f(x+2)-f(x+1...

    Text Solution

    |

  11. If n is any integer, then all the points at which the function f (x) =...

    Text Solution

    |

  12. If f (x) ={{:(x",", "when " 0 lt x lt 1),(2-x",", "when" 1 lt x le 2):...

    Text Solution

    |

  13. If the function f (x) is differentiable at x=h, then the value of lim(...

    Text Solution

    |

  14. If y= cot ^(-1)""(b-ax)/(a+bx), then the value of (dy)/(dx) is-

    Text Solution

    |

  15. If l(x) is the least interger not less than x and g(x) is the greatest...

    Text Solution

    |

  16. If f (2x+3) =sin x+2^(x), then the value of f (4m-2n+3) is-

    Text Solution

    |

  17. Let f (x) {{:((sin 5x)/(x ^(2) +2x)",", "when" x ne0),(k +1/2",","when...

    Text Solution

    |

  18. If f (x) =(alphax)/(x+1) (x ne -1), then the value of alpha for which ...

    Text Solution

    |

  19. The deerivative of y=(1-x) (2-x) ..(n-x) at x=1 is equal to-

    Text Solution

    |

  20. If y=f{f(x)} , f(0) =0 and f'(0)=5, then the value of [(dy)/(dx)](x=0)...

    Text Solution

    |