Home
Class 12
MATHS
lim(xto1) (1-x^(2))/(sin2pix) is equal t...

`lim_(xto1) (1-x^(2))/(sin2pix)` is equal to

A

0

B

`oo`

C

-2

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
`underset(xto1)lim(1-x^(2))/(sin2pix)=-underset(xto1)lim(2pi(1-x)(1+x))/(2pisin(2pi-2pix))`
`=underset(xto1)lim((2pi-2pix))/((2pi-2pix))(1+x)/(2pi)=(-1)/(pi)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Exercise (Multiple)|18 Videos

  • LIMITS

    CENGAGE|Exercise Exercise (Comprehension)|20 Videos

  • LIMITS

    CENGAGE|Exercise Exercise 2.8|8 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a polynomial satisfying lim_(xtooo) (x^(2)f(x))/(2x^(5)+3)=6" and "f(1)=3,f(3)=7" and "f(5)=11. Then lim_(xto1) (x-1)/(sin(f(x)-2x-1)) is equal to

What is lim_(xto0) ((1+x)^(n)-1)/(x) equal to ?

lim_(xto1) (1+sinpi((3x)/(1+x^(2))))/(1+cospix) is equal to

What is lim_(xto0) x^(2)sin((1)/(x)) equal to?

lim_(xto0) (1)/(x)cos^(1)((1-x^(2))/(1+x^2)) is equal to

What is lim_(xto0) (2(1-cosx))/(x^(2) equal to?

What is lim_(xto0) e^((1)/(x^(2))) equal to?

lim_(xrarr1)(1-x)tan((pix)/2) is equal to

lim_(xto1)(1/(1-x)-3/(1-x^3)) is equal

CENGAGE-LIMITS-Exercise (Single)
  1. lim(xto0) (x^(a)sin^(b)x)/(sin(x^(c))), where a,b,c inR~{0}, exists an...

    Text Solution

    |

  2. lim(xto0) (x^(4)(cot^(4)x-cot^(2)x+1))/((tan^(4)x-tan^(2)x+1)) is equa...

    Text Solution

    |

  3. lim(xto1) (1-x^(2))/(sin2pix) is equal to

    Text Solution

    |

  4. lim(xto0) (1)/(x)cos^(1)((1-x^(2))/(1+x^2)) is equal to

    Text Solution

    |

  5. lim(yto0) ((x+y)sec(x+y)-xsecx)/(y) is equal to

    Text Solution

    |

  6. lim(xto1) (1+sinpi((3x)/(1+x^(2))))/(1+cospix) is equal to

    Text Solution

    |

  7. lim(ntooo) sum(x=1)^(20)cos^(2n)(x-10) is equal to

    Text Solution

    |

  8. lim(xto-1) ((x^(4)+x^(2)+x+1)/(x^(2)-x+1))^((1-cos(x+1))/(x+1)^(2)) is...

    Text Solution

    |

  9. lim(xtooo) {(x+5)tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

    Text Solution

    |

  10. The value of lim(xto0) ([(100x)/(sinx)]+[(99sinx)/(x)]) (where [.] rep...

    Text Solution

    |

  11. The value of lim(xtoa) sqrt(a^(2)-x^(2))"cot"(pi)/(2)sqrt((a-x)/(a+x))...

    Text Solution

    |

  12. lim(xto0) [min(y^(2)-4y+11)(sinx)/(x)] (where [.] denotes the greatest...

    Text Solution

    |

  13. The value of lim(xto0) (1-(cosx)sqrt(cos2x))/(x^(2)) is

    Text Solution

    |

  14. lim(xtooo) (1)/(x+1)tan((pix+1)/(2x+2)) is equal to

    Text Solution

    |

  15. The value of lim(xto1^(-)) (1-sqrt(x))/((cos^(-1)x)^(2)) is

    Text Solution

    |

  16. lim(xto pi//2) (sin(xcosx))/(cos(xsinx)) is equal to

    Text Solution

    |

  17. lim(xto0) [(1-e^(x))(sinx)/(|x|)] is (where [.] represents the greates...

    Text Solution

    |

  18. Evaluate lim(xto0) (x(e^(x)-1))/(1-cosx) is equal to

    Text Solution

    |

  19. If f(x)=lim(ntooo) n(x^(1//n)-1)," then for "xgt0, ygt0,f(xy) is equal...

    Text Solution

    |

  20. lim(x to 0) {(1+x)^((2)/(x))} (where {.} denotes the fractional part o...

    Text Solution

    |