Home
Class 11
MATHS
("lim")(xvec0)("cos"(tanx)-cosx)/(x^4)i ...

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

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

Evaluate: ("lim")_(xvec0)(tanx-sinx)/(x^3)

("lim")_(xvecpi/2)(a^(cotx)-a^(cosx))/(cotx-cosx)i se q u a lto ln a (b) a (c) lna/2 (d) does not exist

("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")_(xvec0)(e^x^2-cosx)/(x^2)

Evaluate: ("lim")_(xvec0)(cot2x-cos e c2x)/x

("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->0)(cos2x-1)/(cosx-1)

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_(xrarr0)(cos 2x-1)/(cosx-1)

("lim")_(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h e n""("lim")(xrarroo)xn is (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If lim(x->2^-) (ae^(1/|x+2|)-1)/(2-e^(1/(|x+2|)))= lim(x->2^+)sin ((x^...

    Text Solution

    |

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

    Text Solution

    |

  9. lim(x->o)[(x^4sin(1/x)+x^2)/(1+|x|^3)]=

    Text Solution

    |

  10. Evaluate the limit: ("lim")(xvecoo)((x+2)/(x+1))^(x+3)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. ("lim")(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals t...

    Text Solution

    |

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

    Text Solution

    |

  15. ("lim")(xrarroo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0...

    Text Solution

    |

  16. Evaluate: ("lim")(xrarr0)(cosx)^(cotx)

    Text Solution

    |

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

    Text Solution

    |

  18. Evaluate ("lim")(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

    Text Solution

    |

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

    Text Solution

    |

  20. Evaluate: ("lim")(xvec0) ((1+x)^(1/x)-e+1/2e x)/(x^2)

    Text Solution

    |