Home
Class 11
MATHS
underset(xtooo)lim{(x+5)tan^(-1)(x+5)-(x...

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

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+5)tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

The value of underset( |x| -> infty) lim cos( tan^(-1)(sin(tan^(-1)x))) is equal to

lim_(x to 0) tan^-1x/x

lim_(xtooo) (e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

underset(xto0)lim(sin^(-1)x)/(x) is equal to -

Prove : underset(xrarr0)"lim"(tan^(-1)x-x)/(sin^(-1)x)=1

The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(x^(2)+1)+"tan"^(-1)(x^(2)+1)/(x))dx is equal to

Solve: tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)(8/31) .

lim_(xtooo) (1)/(x+1)tan((pix+1)/(2x+2)) is equal to

lim_(xto oo) (int_(0)^(x)tan^(-1)t\ dt)/(sqrt(x^(2)+1)) is equal to

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/...

    Text Solution

    |

  2. Evaluate: ("lim")(xrarr0)((a^x+b^x+c^x)/3)^(2/x);(a , b , c >0)

    Text Solution

    |

  3. underset(xtooo)lim{(x+5)tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

    Text Solution

    |

  4. If f(n)=underset(xto0)lim{(1+"sin"(x)/(2))(1+"sin"(x)/(2^(2)))...(1+"s...

    Text Solution

    |

  5. If underset(xto-2^(-))lim(ae^(1//|x+2|)-1)/(2-e^(1//|x+2|))=underset(x...

    Text Solution

    |

  6. The population of a country increases by 2% every year. If it increase...

    Text Solution

    |

  7. Evaluate lim(xto-oo)[(x^(4)sin((1)/(x))+x^(2))/((1+|x|^(3)))].

    Text Solution

    |

  8. Evaluate the limit: lim(x->oo)((x+2)/(x+1))^(x+3)

    Text Solution

    |

  9. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  10. Evaluate: lim(x->pi/2)(cosx)^(cosx)

    Text Solution

    |

  11. lim(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (...

    Text Solution

    |

  12. Evaluate: lim(x->0)(1+x)^(cos e cx )

    Text Solution

    |

  13. lim(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^...

    Text Solution

    |

  14. Evaluate: lim(x->0)(cosx)^(cotx)

    Text Solution

    |

  15. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (...

    Text Solution

    |

  16. Evaluate ("lim")(xto0)((sinx)/x)^(((sinx)/(x-sinx)))

    Text Solution

    |

  17. lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 ...

    Text Solution

    |

  18. Evaluate lim(xto0) ((1+x)^(1//x)-e+(1)/(2)ex)/(x^(2)).

    Text Solution

    |

  19. If lim(x→0) ​ (x^asin^b x)/(sin(x^c)), where a , b , c in ...

    Text Solution

    |

  20. Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

    Text Solution

    |