Home
Class 12
MATHS
The value of lim(x + (pi)/(2)) ({1 - ta...

The value of `lim_(x + (pi)/(2)) ({1 - tan (x)/(2)}{1-"sin"x})/({1 + tan (X)/(2)}(pi - 2x)^(3))` equals

A

0

B

`(1)/(32)`

C

`oo`

D

`(1)/(8)`

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

The value of lim_(x rarr(pi)/(2))({1-(tan x)/(2)}{1-sin x})/({1+(tan x)/(2)}(x-2x)^(3)) equals

lim_ (x rarr (pi) / (2)) ((1-tan ((x) / (2))) (1-sin x)) / ((1 + tan ((x) / (2))) ((pi-2x) ^ (3)))

lim_( x to (pi/(2)) (tan2x)/(x-(pi)/(2))

lim_ (x rarr (pi) / (2)) ([1-tan ((x) / (2))] [1-sin x]) / ([1 + tan ((x) / (2))] [pi-2x] ^ (3))

lim_(x rarr((pi)/(2)))(1-sin x)tan x=

The value of lim_(x to oo)((pi)/(2)-tan^(-1)x)^(x//1) is

lim_(x=(pi)/(2))(sin x)^(tan x)

lim_ (x rarr (pi) / (2)) {(1-sin x) tan x}

AAKASH INSTITUTE-LIMITS AND DERIVATIVES -Section - B
  1. The value of lim(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The value of lim(x to 0) ("sin" alpha X - "sin" beta x)/(e^(alphax) -...

    Text Solution

    |

  14. The value of lim(x + (pi)/(2)) ({1 - tan (x)/(2)}{1-"sin"x})/({1 + ta...

    Text Solution

    |

  15. The value of lim(x to oo) ((4^(x) - 1)^(3))/("sin"(x)/(4) log (1 + (x...

    Text Solution

    |

  16. If 0 lt alpha lt beta then lim(n to oo) (beta^(n) + alpha^(n))^((1)/(n...

    Text Solution

    |

  17. lim(x to 0) ("sin" (nx)((a - n)nx - tanx))/(x^(2)) = 0 when n is a no...

    Text Solution

    |

  18. lim(x + 5^(+)) (x^(2) - gx + 20)/(x - [x]) is equal to

    Text Solution

    |

  19. lim(x to 0) ("sin"2X)/(2 - sqrt(4 - x)) is

    Text Solution

    |

  20. lim(x to 0) (1 - cos x)/(x sqrt(x^(2))

    Text Solution

    |