Home
Class 11
MATHS
lim(xto-1)((x^4+x^2+x+1)/(x^2-x+1))^((1-...

`lim_(xto-1)((x^4+x^2+x+1)/(x^2-x+1))^((1-cos(x+1))/((x+1)^(2))` is equal to (a) 1 (b) `(2/3)^(1/2)` (c) `(3/2)^(1/2)` (d) `e^(1/2)`

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

lim_(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

lim_(x to 1/2) (2x^2-3x+1)/(2x-1) = ?

lim_(x to 1)((1+x)/(2+x))^(1/2)

lim_(x->0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) -2 (c) 1 (d) -1

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).

("lim")_(xto0)1/xcos^(-1)((1-x^2)/(1+x^2)) is equals to (a)1 (b) 0 (c) 2 (d) none of these

Evaluate lim_(xto1) ((2)/(1-x^(2))-(1)/(1-x)).

lim_(xto-2) (sin ^(-1) (x+2))/(x^(2) +2x) is equal to-

lim_(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

lim_(x->0)((1+5x^2)/(1+3x^2))^(1//x^2)=____

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: (lim)(x->(3pi)/4)(1+(tanx)^(1/3))/(1-2cos^2x)

    Text Solution

    |

  2. Evaluate: lim(x->0)(10^x-2^x-5^x+1)/(xtanx)

    Text Solution

    |

  3. lim(xto-1)((x^4+x^2+x+1)/(x^2-x+1))^((1-cos(x+1))/((x+1)^(2)) is equal...

    Text Solution

    |

  4. Evaluate: lim(x->0)(3^(2x)-2^(3x))/x

    Text Solution

    |

  5. lim(x->2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(...

    Text Solution

    |

  6. Evaluate: lim(x->0)(log(5+x)-"log"(5-x))/x

    Text Solution

    |

  7. Each question contains statements given in two columns which have to b...

    Text Solution

    |

  8. Let P(n)=a^(P(n-1))-1,AA n=2,3,..., and let P(1)=a^(x)-1, where ainR^(...

    Text Solution

    |

  9. Column I ([.] denotes the greatest integer function), Column II ""(...

    Text Solution

    |

  10. Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, ...

    Text Solution

    |

  11. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13)

    Text Solution

    |

  12. Find the values of b for which the points (2b+3, b^(2)) lies above of ...

    Text Solution

    |

  13. If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):},show that underset(xt...

    Text Solution

    |

  14. The reciprocal of the value of: lim(n->oo)(1-1/(2^2))(1-1/(3^2))(1-1/(...

    Text Solution

    |

  15. Show that ("lim")(xrarr0) (e^(1/x)-1)/(e^(1/x)+1) does not exist

    Text Solution

    |

  16. If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...

    Text Solution

    |

  17. Evaluate underset(xto2^(+))lim([x-2])/(log(x-2)), where [.] represents...

    Text Solution

    |

  18. Find the value of the limit ("lim")(xto0) (((sqrt(a+x))-(sqrt(a-x)))/...

    Text Solution

    |

  19. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

    Text Solution

    |

  20. lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to

    Text Solution

    |