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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

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

    CENGAGE ENGLISH|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^(2pi)[sinx]dx ,where [dot] denotes the greatest integer function.

Evaluate: ("lim")_(xrarr0) (sin[cosx])/(1+[cosx])([dot] denotes the greatest integer function).

The value of the integral I=int_(0)^(pi)[|sinx|+|cosx|]dx, (where [.] denotes the greatest integer function) is equal to

lim_(xrarr oo) (logx)/([x]) , where [.] denotes the greatest integer function, is

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

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

The value of lim_(x->pi/4)(1+[x])^(1//ln(tanx)) (where[.] denote the greatest integer function) is equal to

The value of lim_(x->pi/4)(1+[x])^(1//ln(tanx)) (where[.] denote the greatest integer function) is equal to

Evaluate -int_(3pi//2)^(pi//2)[2sinx]dx , when [.] denotes the greatest integer function.

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

    Text Solution

    |

  2. ("lim")(xvecoo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)}i se q u a lto 0 ...

    Text Solution

    |

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

    Text Solution

    |

  4. If G(x)=-sqrt(25-x^2),t h e n lim(x->1)(G(x)-G(1))/(x-1)i s (a)1/(2...

    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->oo)f(x) is

    Text Solution

    |

  7. Evaluate the left-and right-hand limits of the function f(x)={(|x-4|)/...

    Text Solution

    |

  8. If ("lim")(x->a)[f(x)g(x)] exists, then both ("lim")(x->a)f(x)a n d("l...

    Text Solution

    |

  9. If alpha1, ,alpha2, ,alphan are the roots of equation x^n+n a x-b=0, ...

    Text Solution

    |

  10. lim(x->0)((xtan2x-2xtanx)/(1-cos2x)^2) is equal to

    Text Solution

    |

  11. Evaluate: ("lim")(xvec0)(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) b....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |