Home
Class 11
MATHS
(lim)(xvecpi/2)((1-sin x)(8x^3-pi^3)cos ...

`(lim)_(xvecpi/2)((1-sin x)(8x^3-pi^3)cos x)/((pi-2x)^4)`

a.`(pi^2)/6` b. `(3pi^2)/(16)` c. `(pi^2)/(16)` d. `-(3pi^2)/(16)`

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

int_(-pi/3)^(pi/3) ((xsinx)dx)/(cos^2x) is

int_(pi)^(16pi) |sin x| dx =

int_(0)^((pi)/(4))xcosxcos3xdx=(pi+2)/(16)

lim_(x to pi/2)sin(xcosx)/("cos"(xsinx)) is equal to (a) 0 (b) pi/2 (c) pi (d) 2pi

Lim_(x to pi/3) sin(pi/3-x)/(2 cosx-1) is equal to

Evaluate : lim_(xto(pi)/(2))(cos3x+3cosx)/(((pi)/(2)-x)^(3))

sin ^(2)(pi/6) + cos ^(2)(pi/3) - tan ^(2)(pi/4) =- 1/2

(cos (pi +x) cos (-x))/( sin (pi -x) cos ((pi )/(2) + x))= cot ^(2) x

Find the value of cos^2pi/(16)+cos^2(3pi)/(16)+cos^2(5pi)/(16)+cos^2(7pi)/(16)dot

Evaluate: int_(-(3pi)/2)^(-pi/2)[(x+pi)^3+cos^2(x+3pi)]dx

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If underset(xrarr0)(lim)(f(x))/(x^(2))=aand underset(xrarr0)(lim)(f(1-...

    Text Solution

    |

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

    Text Solution

    |

  3. (lim)(xvecpi/2)((1-sin x)(8x^3-pi^3)cos x)/((pi-2x)^4) a.(pi^2)/6 b...

    Text Solution

    |

  4. The value of lim(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

    Text Solution

    |

  5. The value of (lim)(x->oo)(e^sqrt(x^(4+1))-e^(x^(2+1))) is (a) 0 b. e c...

    Text Solution

    |

  6. If an and bn are positive integers and an+sqrt(2)bn=(2+sqrt(2))^n ,t h...

    Text Solution

    |

  7. Iff(x)={x+1/2, x<0 2x+3/4,x >=0 , then [(lim)(x->0)f(x)]= (...

    Text Solution

    |

  8. (lim)(X-> (-7)([x]^2+15[x]+56)/("sin"(x+7)"sin"(x+8))= (where [.] deno...

    Text Solution

    |

  9. Let L1=(lim)(x^vec4)(x-6)^x and L2=(lim)(x^vec4)(x-6)^4dot Which of t...

    Text Solution

    |

  10. If f:R->R is defined by f(x)=[x−3]+|x−4| for x in R, then lim(x->3) f(...

    Text Solution

    |

  11. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/a...

    Text Solution

    |

  12. underset(xrarr(-1)/(3))(lim)(1)/(x)[(-1)/(x)]= (where [.] denotes the ...

    Text Solution

    |

  13. (lim)(xvecoo)x^2sin((log)esqrt(cospi/x)) a. 0 b. (pi^2)/2 c. (pi^2...

    Text Solution

    |

  14. underset(xrarr0)(lim)(1)/(x^(2))|(1-cos3x,log(e)(1+4x)),(sin^(-1)(x^(x...

    Text Solution

    |

  15. If graph of the function y=f(x) is continuous and passes through point...

    Text Solution

    |

  16. lim(x->oo)[x-loge((e^x+e^(-x))/2)]= a)(log)e4 b. 0 c. oo d. (log)e...

    Text Solution

    |

  17. The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a)1/2 ...

    Text Solution

    |

  18. If underset(xrarroo)(lim)((x+c)/(x-c))^(x)=4 then the value of e^(c) i...

    Text Solution

    |

  19. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

    Text Solution

    |

  20. If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim(x-...

    Text Solution

    |