Home
Class 11
MATHS
Evaluate lim(x->(5pi)/4) [sinx+cosx], wh...

Evaluate `lim_(x->(5pi)/4)` `[sinx+cosx],` where [.] denotes the greatest integer function.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate: lim_(xto(5pi)/(4)) [sinx+cosx] , [.] denotes the greatest integer function.

Evaluate: int_0^((5pi)/(12))[tanx]dx , where [dot] denotes the greatest integer function.

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

Evaluate: int_0^(2pi)[sinx]dx ,where [dot] denotes the greatest integer function.

Evaluate: int_(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the greatest integer function

Evaluate: int_(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the greatest integer function

Evaluate lim_(xto0) (sin[cosx])/(1+[cosx]) ( [.] denotes the greatest integer function).

Evaluate : [lim_(x to 0) (sin x)/(x)] , where [*] represents the greatest integer function.

Evaluate lim_(n->oo) [sum_(r=1)^n1/2^r] , where [.] denotes the greatest integer function.

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate lim(n->oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

    Text Solution

    |

  2. lim(n->oo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)} is equal to (a) 0...

    Text Solution

    |

  3. Evaluate lim(x->(5pi)/4) [sinx+cosx], where [.] denotes the greatest i...

    Text Solution

    |

  4. If G(x) = -sqrt(25-x^2) then lim(x to 1) (G(x)-G(1))/(x-1) = ?

    Text Solution

    |

  5. Evaluate the left-and right-hand limits of the function defined by f(...

    Text Solution

    |

  6. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim(x rarr infty)f(x) is

    Text Solution

    |

  7. Evaluate the right hand limit and left hand limit of the function f(x)...

    Text Solution

    |

  8. If lim(x->a)[f(x)g(x)] exists, then both lim(xtoa)f(x) and lim(x->a)g(...

    Text Solution

    |

  9. If alpha1, ,alpha2,.... ,alphan are the roots of equation x^n+n a x-b...

    Text Solution

    |

  10. Evaluate : lim(x to 0)(xtan2x-2x tanx)/(1-cos2x)^2

    Text Solution

    |

  11. Evaluate underset(xto0)lim(sin^(-1)x-tan^(-1)x)/(x^(3)).

    Text Solution

    |

  12. lim(x->1)sqrt(1-cos2(x-1))/(x-1) a. exists and its equals sqrt(2) ...

    Text Solution

    |

  13. lim(x->0)sin^2(pi/(2-p x))^(sec^2((pi/(2-px)))

    Text Solution

    |

  14. The value of lim(x->0)(sqrt(1/2(1-cos2x)))/x i s (a)1 (b)-1 ...

    Text Solution

    |

  15. Evaluate: lim(x->7/2)(2x^2-9x+8)^(cot(2x-7))

    Text Solution

    |

  16. If f(x)={:(sin[x]","" ""for "[x]ne0),(0","" ""for "[x]=0):}where [x...

    Text Solution

    |

  17. Let f(a)=g(a)=k and their n t h derivatives exist and are not equal fo...

    Text Solution

    |

  18. If f(x)={(x^nsin(1/(x^2)),x!=0), (0,x=0):}, (n in I), then (a) lim(...

    Text Solution

    |

  19. Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate:...

    Text Solution

    |

  20. The value of lim(x to1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(...

    Text Solution

    |