Home
Class 12
MATHS
The value of lim(x to 0) (tan x - sin ...

The value of ` lim_(x to 0) (tan x - sin s)/(x^(3))` equals

A

1

B

`(1)/(2)`

C

`(-1)/(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|Exercise Section - C|6 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - D|6 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise SECTION - A|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

  • MATHEMATICAL REASONING

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

Similar Questions

Explore conceptually related problems

Evaluate lim_(x to 0) (tan x - "sin" x)/(x^(3))

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

The value of lim_(x rarr0)(tan x-sin x)/(x^(3)) equals

the value of lim_(x rarr0)(tan x-sin x)/(x^(3))

lim_(x rarr0)(tan x-sin x)/(x^(3)) is equal to

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

lim_(x rarr0)(tan2x-sin2x)/(x^(3))

Evaluate: lim_(xrarr0) (tan x-sin x)/(x^(3))

the value of lim_(x rarr0)(cos(sin x)-cos x)/(x^(4)) is equal to:

Evaluate: lim_(x rarr0)(tan x-sin x)/(x^(3))

AAKASH INSTITUTE-LIMITS AND DERIVATIVES -Section - B
  1. lim(x to 0) (x tan 2X - X tan x)/((1 - cos 2X)^(2)) equals

    Text Solution

    |

  2. The value of lim(x to 1) (x^(5) - 3x + 2)/(x - 1) equals

    Text Solution

    |

  3. The value of lim(x to 0) (tan x - sin s)/(x^(3)) equals

    Text Solution

    |

  4. lim(x to 0) (2^(x) - 1)/(sqrt(1 + x) - 1) =

    Text Solution

    |

  5. The value of lim(x to 0) (log (5 + x) - log (5 - x))/(x) equals

    Text Solution

    |

  6. m,n in I^(+), then lim(x to 0) ("sin"x^(n))/(("sin"x)^(m)) equals

    Text Solution

    |

  7. The value of lim(x to (pi)/(4)) ("sin" x - cos x)/((x - (pi)/(4))) eq...

    Text Solution

    |

  8. The value of lim(x to 0) ("sin" (pi cos^(2) x))/(x^(2)) equals

    Text Solution

    |

  9. The value of lim(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

    Text Solution

    |

  10. The value of lim(theta to (pi)/(2)) (sec theta - tan theta) equals

    Text Solution

    |

  11. The value of lim(x to oo) (sqrt(x^(2) + x + 1) - sqrt(x^(2) - x + 1)) ...

    Text Solution

    |

  12. The value of lim(x to 0) ((1)/(x^(2)) - cot x) equals

    Text Solution

    |

  13. The value of lim(h to 0) {(1)/(h(8 + h)^(1//3)) - (1)/(2h)} equals

    Text Solution

    |

  14. The value of lim(x to oo) {sqrt(x+ sqrt(x + sqrt(x))) - sqrt(x)} equa...

    Text Solution

    |

  15. lim(x to 2) (([x]^(3))/(3) - [(x)/(3)]^(-3)) is where [x] represents t...

    Text Solution

    |

  16. underset(x to 2)(Lt) {[x - 2] + [2 - x] - x} = where [.] represents gr...

    Text Solution

    |

  17. If {x} denotes the fractional part of x, then lim(x to 0) ({x})/(tan ...

    Text Solution

    |

  18. The least integer n for which lim(x to 0) ((cos x - 1) (cos x - e^(x))...

    Text Solution

    |

  19. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then u...

    Text Solution

    |

  20. underset(x to 0)(Lt) (sqrt(1 - cos 2 x))/(sqrt(2)x) =

    Text Solution

    |