Home
Class 12
MATHS
lim(x to 0) (2 sin x - sin 2x)/(x^(3)) ...

`lim_(x to 0) (2 sin x - sin 2x)/(x^(3))` ie equal to

A

2

B

1

C

-2

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - B|34 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - C|5 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|64 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 the following limits : lim_(x to oo) (2 sin x - sin 2 x)/(x^(3))

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

The value of lim_(xto0)(x sin (sinxx)-sin^(2)x)/(x^(6)) equals

Evaluate the following limits : Lim_(x to 0) (sin 2x (1- cos 2x))/(x^(3))

lim_(x to 0) (sin x + cos 3x)^(2//x) =

Evaluate the following limits : Lim_(x to 0) (3 sin x^(@) - sin 3x^(@))/(x^(3))

1. lim_(x rarr0)(sin^(-1)x-sin x)/(x^(3))

If lim_(x to 0) ("sin" 2x + a "sin" x)/(x^(3)) =b (finite), then (ab)^(2) equals…..

The value of lim_(x to 0) (log(sin 5x + cos 5x))/(tan 3x) is equal to

Evaluate lim_(xto0)(tan2x-sin2x)/(x^(3))

AAKASH INSTITUTE ENGLISH-LIMITS AND DERIVATIVES -SECTION - A
  1. lim(x to 0) (sqrt(1 + x + x^(2)) - sqrt(x + 1))/(2X^(2)) is equal to

    Text Solution

    |

  2. lim(x to 0) (sin^(2) x//4)/(x) is equal to

    Text Solution

    |

  3. lim(x to 0) (2 sin x - sin 2x)/(x^(3)) ie equal to

    Text Solution

    |

  4. 'underset(x to 0) (sqrt(a +x) - sqrt(a))/(x sqrt(a^(2) + ax)) is equal...

    Text Solution

    |

  5. Evaluate underset(x to 3)(lim) (x^(3) - 7x^(2) + 15x - 9)/(x^(4) - 5x^...

    Text Solution

    |

  6. If f (x) = x^(4) + 2x^(3), them lim(x to 2) (f(x) - f(2))/(x - 2) is ...

    Text Solution

    |

  7. underset(x to sqrt(2))(It) (x^(2) - 2)/(x^(2) + sqrt(2)x - 4) is equal...

    Text Solution

    |

  8. lim(x to 27) (x^(1//3) + 3) (X^(1//3) - 3))/(x - 27) is equal to

    Text Solution

    |

  9. lim(x to 2) (x^(3) + x^(2) + 4x + 12)/(x^(3) - 3x + 2) is equal to

    Text Solution

    |

  10. lim(x to 4) (x^(2) - 16)/(sqrt(x) - 2) is equal to

    Text Solution

    |

  11. Evaluate the following limits : Lim(x to 2) (x-2)/(sqrt(x)-sqrt(2))

    Text Solution

    |

  12. lim(x to 0) (x)/(tan x) is equal to

    Text Solution

    |

  13. The derivative of f(x) = x^(2) at x = 1 is

    Text Solution

    |

  14. The derivative of f (x) = x^(2) + 2x at x = 2 is

    Text Solution

    |

  15. The derivative of f(x) = "sin" 2x is

    Text Solution

    |

  16. The derivative of f(x) = (sqrt(x) + (1)/(sqrt(x)))^(2) is

    Text Solution

    |

  17. If Y = (1 + tan x)/(1 - tan x), then (dy)/(dx) is

    Text Solution

    |

  18. The derivative of f(x) = x^(-3) (3 + 7.x) is

    Text Solution

    |

  19. The derivative of f(x) = (3 x + 2 "sin" x)/(x + 5 cos x) is

    Text Solution

    |

  20. The derivative of f(x) = (x + (1)/(x))^(3)

    Text Solution

    |