Home
Class 11
MATHS
("lim")(xvecoo){1/(1-n^2)+2/(1-n^2)+.......

`("lim")_(xvecoo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)}i se q u a lto` 0 (b) `-1/2` (c) `1/2` (d) none of these

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

("lim")_(xvec0)1/xcos^(-1)((1-x^2)/(1+x^2))i se q u a lto 1 (b) 0 (c) 2 (d) none of these

Evaluate : ("lim")_(xrarroo) 1/(1+n^2)+2/(2+n^2)+...+n/(n+n^2)

sin[cot^(-1){tan(cos^(-1)x)}]i se u q a lto x (b) sqrt(1-x^2) (c) 1/x (d) None of these

("lim")_(xvec1)((1-x)(1-x^2)...(1-x^(2n)))/({(1-x)(1-x^2)...(1-x^n)}^2),n in N ,e q u a l s ^2n P_n (b) ^2n C_n (c) (2n)! (d) none of these

("lim")_(xvec2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1))i se q u a lto 1/2 (b) 2 (c) 1 (d) none of these

("lim")_(xvec0)((1^x+2x+3^x++n^x)/n)^(1//x)i se q u a lto (n !)^n (b) (n !)^(1/n) (c) n ! (d) "ln"(n !)

The value of lim_(n->oo)[(2n)/(2n^2-1)cos(n+1)/(2n-1)-n/(1-2n)dot(n(-1)^n)/(n^2+1)]i s 1 (b) -1 (c) 0 (d) none of these

("lim")_(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/2 (d) 1

If sin^(-1)((x^2-y^2)/(x^2+y^2))=logat h e n(dy)/(dx)i se q u a lto (x^2-y^2)/(x^2+y^2) (b) y/x (c) x/y (d) none of these

("lim")_(xvec1)((x^4+x^2+x+1)/(x^2-x+1))^(1-"cos"(x+1))/((x+1)^(2))i se q u a lto 1 (b) (2/3)^(1/2) (c) (3/2)^(1/2) (d) e^(1/2)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. For x in R, lim(xrarroo)((x-3)/(x+2))^x is equal to (a) e (b) e^(-1) ...

    Text Solution

    |

  2. Evaluate lim(n->oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

  7. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim (x->oo)f(x) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Evaluate: ("lim")(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |