Home
Class 12
MATHS
lim(x-1)(tan(x^(2)-1))/(x-1) is equal to...

`lim_(x-1)(tan(x^(2)-1))/(x-1)` is equal to

A

(1/2)

B

2

C

(-1)

D

(-2)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos
  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr 1) (x^(2)-1)/(|x-1|) =

("lim")_(xtooo)"{"(x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

The value of int(e^(x)((1+x^(2))tan^(-1)x+1))/(x^(2)+1)dx is equal to

For any real number x ge 1 , the expression sec^(2) ( tan^(-1)x) - tan^(2) ( sec^(-1) x) is equal to

The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1) x))) is equal to

lim_(x rarr 0)"x sin" (1)/(x) is equal to :

underset(xtooo)lim(cot^(-1)(x^(-a)log_(a)x))/(sec^(-1)(a^(x)log_(x)a)),(agt1), is equal to

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x rarr 0) (tan x - sin x)/(x^(3)) =

    Text Solution

    |

  2. The value of lim(x to 0)(5^(x)-5^(-x))/(2x)=

    Text Solution

    |

  3. lim(x-1)(tan(x^(2)-1))/(x-1) is equal to

    Text Solution

    |

  4. The value of lim(x rarr oo) (3^(x+1) - 5^(x+1))/(3^(x)-5^(x) is

    Text Solution

    |

  5. If G(x) = -sqrt(25-x^(2)) the lim(x rarr 1) (G(x)-G(1))/(x-1) =

    Text Solution

    |

  6. lim(n rarr oo) ((1)/(1-n^(2)) + (2)/(1-n^(2)) +…...+(n)/(1-n^(2))) is ...

    Text Solution

    |

  7. lim(x rarr oo) ((2 + x)^(40) (4 + x)^(5))/((2-x)^(45)) is :

    Text Solution

    |

  8. lim(x rarr oo) x^(n)/e^(x) = 0 (n is an integer) for

    Text Solution

    |

  9. If f(x) = sqrt((x-sinx)/(x+cos^(2)x)), then lim(x rarr oo) f(x) =

    Text Solution

    |

  10. lim(x rarr 0) {tan (pi/4+x)}^(1/x) =

    Text Solution

    |

  11. The value of lim(x rarr 0) ((1 + 5x^(2))/(1+3x^(2)))^(1//x^(2)) is :

    Text Solution

    |

  12. lim(x rarr 1) (sqrt(1 - cos 2 (x - 1)))/(x -1) :

    Text Solution

    |

  13. lim(x rarr 0) (sin (pi cos^(2)x))/(x^(2)) is equal to :

    Text Solution

    |

  14. Let f:R toR be such that f(1)=3 and f(1)=6. Then lim(xto0)(f(1+x)/(f(1...

    Text Solution

    |

  15. lim(x rarr 0) (sin nx[(a-n)nx - tan x])/(x^(2)) = 0, where n is non-ze...

    Text Solution

    |

  16. lim(x rarr 0) (sqrt(1-cos 2x))/(sqrt(2)x) is :

    Text Solution

    |

  17. lim(x rarr oo) ((x^(2) + 5x + 3)/(x^(2) + x + 2))^(x) is :

    Text Solution

    |

  18. For x in R, lim(x rarr oo) ((x-3)/(x+2))^(x) is equal to :

    Text Solution

    |

  19. The value of lim(n rarr oo) (1 + 2^(4) + 3^(4) +…...+n^(4))/(n^(5)) - ...

    Text Solution

    |

  20. lim(x rarr 0) (log (3 + x) - log(3 - x))/(x) = k, the value of k is :

    Text Solution

    |