Home
Class 11
MATHS
lim(x->1)(1-x^2)/(sin2pix) is equal to ...

`lim_(x->1)(1-x^2)/(sin2pix)` is equal to

(a)`1/(2pi)`

(b) `-1/pi`

(c) `(-2)/pi`

(d) none of these

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

lim_(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

int_0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logx dx is equal to (a) -pi/2logpi (b) 0 (c) pi/2log2 (d) none of these

cos^(-1)("cos"(2cot^(-1)(sqrt(2)-1))) is equal to (a) sqrt(2)-1 (b) pi/4 (c) (3pi)/4 (d) none of these

("lim")_(xto0)1/xcos^(-1)((1-x^2)/(1+x^2)) is equals to (a)1 (b) 0 (c) 2 (d) none of these

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) none of these

lim_(x->(pi/2)) (1-sinx)tanx =

int_(-pi/2)^(pi/2)(e^(|sinx|)cosx)/(1+e^(tanx))dx is equal to (a) e+1 (b) 1-e (c) e-1 (d) none of these

int_0^oo(x dx)/((1+x)(1+x^2)) is equal to (A) pi/4 (B) pi/2 (C) pi (D) none of these"

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to (a) 0 (b) 2pi (c) pi (d) none of these

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

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^...

    Text Solution

    |

  2. Evaluate: lim(x->0)(cosx)^(cotx)

    Text Solution

    |

  3. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (...

    Text Solution

    |

  4. Evaluate ("lim")(xto0)((sinx)/x)^(((sinx)/(x-sinx)))

    Text Solution

    |

  5. lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 ...

    Text Solution

    |

  6. Evaluate lim(xto0) ((1+x)^(1//x)-e+(1)/(2)ex)/(x^(2)).

    Text Solution

    |

  7. If lim(x→0) ​ (x^asin^b x)/(sin(x^c)), where a , b , c in ...

    Text Solution

    |

  8. Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

    Text Solution

    |

  9. ("lim")(x->oo){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n (a)a=1,b=1 (...

    Text Solution

    |

  10. Evaluate underset(xtooo)lim(log(e)x)/(x)

    Text Solution

    |

  11. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

    Text Solution

    |

  12. Evaluate the following limits using sandwich theorem: lim(x->oo)([x])...

    Text Solution

    |

  13. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

    Text Solution

    |

  14. If (x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x^(2)+2x-1)/(x+3) holds for a c...

    Text Solution

    |

  15. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

    Text Solution

    |

  16. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

    Text Solution

    |

  17. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

    Text Solution

    |

  18. Evaluate underset(ntooo)lim(1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2...

    Text Solution

    |

  19. If L=lim(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...

    Text Solution

    |

  20. Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...

    Text Solution

    |