Home
Class 11
MATHS
("lim")(xvec0)1/xcos^(-1)((1-x^2)/(1+x^2...

`("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

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

intsin^(-1)((2x)/(1+x^2))dx is e q u a lto

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

Evaluate: ("lim")_(xvec0)1/xsin^(-1)((2x)/(1+x^2))

The value of ("lim")_(xvec0)(1+sinx-cosx+"log"(1-x))/(x^3)i s 1/2 (b) -1/2 (c) 0 (d) none of these

("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

lim_(x -> oo)(x(log(x)^3)/(1+x+x^2)) equals 0 (b) -1 (c) 1 (d) none of these

int_0^oo(dx)/([x+sqrt(x^2+1)]^3)i se q u a lto 3/8 (b) 1/8 (c) -3/8 (d) none of these

("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____

Evaluate: ("lim")_(xvec0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

If [dot] represents the greatest integer function, then int_4^(10)([x^2])/([x^2-28 x+196]+[x^2])dxi se q u a lto 0 (b) 1 (b) 3 (d) none of these

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (c)...

    Text Solution

    |

  2. Evaluate ("lim")(xvec2)(x^(10)-1024)/(x^5-32)

    Text Solution

    |

  3. ("lim")(xvec0)1/xcos^(-1)((1-x^2)/(1+x^2))i se q u a lto 1 (b) 0 (...

    Text Solution

    |

  4. If ("lim")(x->2)(x^n-2^n)/(x-2)=80 and n in N ,then find the value of...

    Text Solution

    |

  5. lim(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a)...

    Text Solution

    |

  6. Evaluate: lim(x->a)((x+2)^(5/3)-(a+2)^(5/3))/(x-a)

    Text Solution

    |

  7. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

    Text Solution

    |

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

    Text Solution

    |

  9. The value of lim(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 ...

    Text Solution

    |

  10. Evaluate : ("lim")(xvecoo)sqrt(x)(sqrt(x+c)-sqrt(x))

    Text Solution

    |

  11. lim(xrarroo)((x+1)^(10)+(x+2)^(10)+...+(x+100)^(10))/(x^(10)+10^(10)) ...

    Text Solution

    |

  12. Evaluate: ("lim")(xvec0)(e^x^2-cosx)/(x^2)

    Text Solution

    |

  13. lim(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (b) 1/...

    Text Solution

    |

  14. Evaluate: lim(x->2)(sin(e^(x-2)-1))/(log(x-1))

    Text Solution

    |

  15. lim(n->oo)(n(2n+1)^2)/((n+2)(n^2+3n-1)) is equal to (a)0 (b) 2 ...

    Text Solution

    |

  16. Evaluate: ("lim")(xvec0)(x2^x-x)/(1-cosx)

    Text Solution

    |

  17. lim(x->0)(x(e^x-1))/(1-cosx) is equal to

    Text Solution

    |

  18. Evaluate: ("lim")(x->oo)[x(a^(1/x)-1)], a >1

    Text Solution

    |

  19. If f(x)=2/(x-3),g(x)=(x-3)/(x+4) , and h(x)=-(2(2x+1))/(x^2+x-12) then...

    Text Solution

    |

  20. Evaluate: ("lim")(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7))-3)

    Text Solution

    |