Home
Class 12
MATHS
Evaluate lim(x to 0) (1 - cos ax)/(1 - ...

Evaluate `lim_(x to 0) (1 - cos ax)/(1 - cos bx)`

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2))/(b^(2))`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - A|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - B|34 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Example|41 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(x to 0) (x^(3) cot x)/(1 - cos x)

lim_(x to 0) (1 - cos 4x)/(1 - cos x) = _________

Evaluate lim_(xto0) (1-cos2x)/x^(2)

lim_(x to 0) (1 - cos x)/(x sqrt(x^(2))

Evaluate : lim_(x to 0) (e^(cos x)-1)/(cos x)

lim_(x to 0) (cos 2x-1)/(cos x-1)

Evaluate: lim_(x->0) (1-cos2x)/(x^2)

Evaluate the following limits : Lim_(x to 0 ) (1-cosmx)/(1- cos nx)

Evaluate the following limits : Lim_( x to 0) (x^(3) cos x)/( 1 - cos x)

Evaluate lim_(xto0)x^(3)"cos"2/x .

AAKASH INSTITUTE ENGLISH-LIMITS AND DERIVATIVES -Try yourself
  1. Evaluate lim(x to 0) ("sin"5x)/("sin"7x)

    Text Solution

    |

  2. Evaluate underset(x to 0)(lim) (1 - cos 2X)/(x)

    Text Solution

    |

  3. Evaluate lim(x to 0) (1 - cos ax)/(1 - cos bx)

    Text Solution

    |

  4. Evaluate : lim(x to 0)(tanx-sinx)/(x^(3)).

    Text Solution

    |

  5. Evaluate lim(x to 0) (x^(3) cot x)/(1 - cos x)

    Text Solution

    |

  6. Evaluate lim(x to (pi)/(4)) ("sin" x - cos x)/(x - (pi)/(4))

    Text Solution

    |

  7. Evaluate lim(x to (pi)/(4)) (cos x - "sin" x)/(cos 2x)

    Text Solution

    |

  8. Find the derivative of f(x) = x^(3) + 1 at x = - 1

    Text Solution

    |

  9. Find the derivative of f(x) = 2 x^(3) + 3x^(2) + 5x + 9 at x = 2

    Text Solution

    |

  10. Find the derivative of sqrt(3x + 5) using first principle of derivativ...

    Text Solution

    |

  11. Find the derivative of x^(2) + 5x + 3 using first principle of derivat...

    Text Solution

    |

  12. Find the derivative of (3x - 2) (x + 1) using first principle of deriv...

    Text Solution

    |

  13. Find the derivative of (2x + 3)/(4x + 1) using first principle of deri...

    Text Solution

    |

  14. Find the derivative of e^(7 x - 2) using first principle of derivative

    Text Solution

    |

  15. Find the derivative of e^(x^(2)-5x) using first principle of derivativ...

    Text Solution

    |

  16. Find the derivative of sin(4x - 1) using first principle of derivative

    Text Solution

    |

  17. Find the derivative of cos (x^(2) + 3) using first principle of deriva...

    Text Solution

    |

  18. Find the derivative of tan(sqrtx) w.r.t. x., using first principle

    Text Solution

    |

  19. Find the derivative of cot (3x + 5) using first principle of derivativ...

    Text Solution

    |

  20. Findt the derivative of f(x) = x^(3) + (1)/(sqrt(x)) + 5

    Text Solution

    |