Home
Class 12
MATHS
Prove : underset(xrarr0)"lim"(tan2x-x...

Prove :
`underset(xrarr0)"lim"(tan2x-x)/(3x-sinx)=(1)/(2)`

Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 ( Long Answer Type Questions)|38 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Correct Answers Type )|5 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 (Very Short Answer Type Questions )|56 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

Prove : underset(xrarr0)"lim"(tanx-sinx)/(1-cosx)=0

Prove : underset(xrarr0)"lim"(tanx-sinx)/(x^(3))=(1)/(2)

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

underset(xrarr0)"lim"(a^(2x)-1)/(x) =

Prove : underset(xrarroo)"lim"(sinx)/(x)=0

underset(xrarr0)"lim"(sin3x)/(sinx) =

underset(xrarr0)"lim"(e^(3x)-1)/(x) =

Evaluate : underset(xrarr0)"lim"(tanx^(@))/(x)

Prove : underset(xrarr0)"lim""xcos"(1)/(x)=0

Prove : underset(xrarr0)"lim"(sin6x+sin8x)/(sin4x+sin6x)=(7)/(5)

CHHAYA PUBLICATION-LIMIT-EXERCISE 2 ( Short Answer Type Questions)
  1. Prove : underset(xrarr1)"lim"=cos((pix)/(2))/(1-x)=(pi)/(2)

    Text Solution

    |

  2. Prove : underset(thetararr(pi)/(4))"lim"(2-"cosec"^(2)theta)/(1-cot...

    Text Solution

    |

  3. Prove : underset(xrarr0)"lim"(tan2x-x)/(3x-sinx)=(1)/(2)

    Text Solution

    |

  4. Evaluate : underset(xrarr0)"lim"(e^((x+h)^(2))-e^(x^2))/(h)

    Text Solution

    |

  5. Evaluate : underset(xrarr0)"lim"(e^(2x)-1)/(sin3x)

    Text Solution

    |

  6. Evaluate : underset(xrarr0)"lim"(4^(x)-1)/(sin2x)

    Text Solution

    |

  7. Evaluate : underset(hrarr0)"lim"(e^(2h)-1)/(e^(3h)-1)

    Text Solution

    |

  8. Evaluate : underset(xrarr0)"lim"(a^(alphax)-b^(betax))/(x)

    Text Solution

    |

  9. Evaluate : underset(xrarr0)"lim"(log(1+3x))/(x)

    Text Solution

    |

  10. Evaluate : underset(xrarr0)"lim"(2^(x)-1)/(sqrt(1+x)-1)

    Text Solution

    |

  11. Evaluate : underset(xrarr0)"lim"(e^(x)+e^(-x)-2)/(x^(2))

    Text Solution

    |

  12. Prove :underset(xrarr0)"lim"(log(1+2x))/(sin3x)=(2)/(3)

    Text Solution

    |

  13. Prove :underset(xrarr1)"lim"(logx)/(x-1)=1

    Text Solution

    |

  14. Prove : underset(xrarre)"lim"(logx-1)/(x-e)=(1)/(e)

    Text Solution

    |

  15. Prove : underset(xrarr0)"lim"(p^(x)-q^(x))/(tanx)="log"(q)/(q)

    Text Solution

    |

  16. Prove :underset(xrarr0)"lim"(sinlog(1+x))/(x)=1

    Text Solution

    |

  17. Prove :underset(xrarr0)"lim"(sinlog(1+x))/(e^(x)-1)=1

    Text Solution

    |

  18. Prove :underset(xrarr0)"lim"(logcosx)/(sin^(2)x)=-(1)/(2)

    Text Solution

    |

  19. Prove :underset(hrarr0)"lim"(log(x+h)-logx)/(h)=(1)/(x)

    Text Solution

    |

  20. Prove :underset(xrarr0)"lim"(log(1+sinx))/(x)=1

    Text Solution

    |