Home
Class 11
MATHS
The value of ("lim")(x->a)sqrt(a^2-x^2)c...

The value of `("lim")_(x->a)sqrt(a^2-x^2)cot(pi/2sqrt((a-x)/(a+x)))` is (a) `(2a)/pi` (b) `-(2a)/pi` (c) `(4a)/pi` (d) `-(4a)/pi`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(x->1)(2-x)^(tan((pix)/2)) is (a) e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

The value of lim x to pi/2( (2x-pi)/cosx) is

The value of lim _(xto(pi)/(2)) (2 ^(cot x)-2 ^(cosx))/(cot x-cos x) is-

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is (a) sqrt(2)pi (b) pi/(sqrt(2)) (c) 2sqrt(2)pi (d) pi/(2sqrt(2))

Find the value of lim_(x to pi/4) (4sqrt2-(cosx+sinx)^5)/(1-sin2x)

int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2)))=(pi)/(4)

Evaluate lim_(xto(pi)/(6)) (2-sqrt(3)cosx-sinx)/((6x-pi)^(2)).

The value of integral int_0^(1/sqrt3) (dx)/((1+x^2)sqrt(1-x^2)) must be (a) 3+2pi (b) 4-pi2+pi (c) non of these

The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to (A) pi/3 (B) pi/4 (C) pi/2 (D) pi/6

The value of lim_(x->pi/4)(tan^3x-t a n x)/(cos(x+pi/4)) is 8 b. -4 c. -8 d. -2

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. underset(xtooo)lim(cot^(-1)(x^(-a)log(a)x))/(sec^(-1)(a^(x)log(x)a)),(...

    Text Solution

    |

  2. Evaluate: lim(x->0)(tan2x-x)/(3x-sinx)

    Text Solution

    |

  3. The value of ("lim")(x->a)sqrt(a^2-x^2)cot(pi/2sqrt((a-x)/(a+x))) is (...

    Text Solution

    |

  4. Evaluate: lim(x->0)(cot2x-cos e c2x)/x

    Text Solution

    |

  5. lim(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)=

    Text Solution

    |

  6. Evaluate: lim(n->oo)ncos(pi/(4n))sin(pi/(4n))

    Text Solution

    |

  7. The value of lim(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-...

    Text Solution

    |

  8. Evaluate: ("lim")(h->0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(s...

    Text Solution

    |

  9. Evaluate: lim(x->0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2)/2)cos...

    Text Solution

    |

  10. Evaluate: lim(x->0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

    Text Solution

    |

  11. Evaluate: lim(n->oo)n^2{sqrt((1-cos(1/n))sqrt((1-cos(1/n)) sqrt((1-cos...

    Text Solution

    |

  12. Evaluate: ("lim")(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0)...

    Text Solution

    |

  13. Evaluate underset(ntooo)lim{cos((x)/(2))cos((x)/(4))cos((x)/(8))...cos...

    Text Solution

    |

  14. Find the value of alpha so that lim(x->0)1/(x^2)(e^(alphax)-e^x-x)=3/...

    Text Solution

    |

  15. If x(1) and x(2) are the real and distinct roots of ax^(2)+bx+c=0 then...

    Text Solution

    |

  16. If lim(xrarr0)(1+ax+bx^2)^(2//x)=e^3, then the value of a and b, is :

    Text Solution

    |

  17. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  18. If ("lim")(x tooo){(x^2-1)/(x+1)-(a x+b)}=2, then find the value of a ...

    Text Solution

    |

  19. Evaluate: lim(x->0)(e^x-1-x)/(x^2)

    Text Solution

    |

  20. If ("lim")(x to0)(a e^x-b)/x = 2 , then find the value of a and bdot

    Text Solution

    |