Home
Class 12
MATHS
lim(xto1) ((x^2-1)sin^2(pi x))/(x^4-2x^3...

`lim_(xto1) ((x^2-1)sin^2(pi x))/(x^4-2x^3+2x-1)` is equal to

A

`(pi^(2))/(6)`

B

`(pi^(2))/(3)`

C

`(pi^(2))/(2)`

D

`pi^(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics- Section B|10 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS |90 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|11 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 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

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

lim _(xto (pi)/(3 )) (sin ((pi)/(3)-x))/( 2 cos x-1) is equal to:

lim_(xto 1^-) (sqrtpi-sqrt(2sin^-1x))/(sqrt(1-x)) is equal to

lim_(xto0) (sin(picos^(2)x))/(x^(2)) is equal to

lim_(xto0)(sin(picos^(2)x))/(x^(2)) is equal to

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

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

lim_(xto0)(1-cos(x^(2)))/(x^(3)(4^(x)-1)) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics- Section A
  1. Let alpha be a root of the equation 1+ x^(2) + x^(4)= 0. Then the valu...

    Text Solution

    |

  2. The number of complex number z such that abs(z)=3 and arg(z-1)-arg(z+1...

    Text Solution

    |

  3. Let A= ((2,-1),(0,2)). If B= I- ""^(5)C(1) ("adj" A) + ""^(5)C(2) ("ad...

    Text Solution

    |

  4. The sum of the infinite series 1+ (5)/(6) + (12)/(6^(2)) + (22)/(6^(3...

    Text Solution

    |

  5. lim(xto1) ((x^2-1)sin^2(pi x))/(x^4-2x^3+2x-1) is equal to

    Text Solution

    |

  6. Let f: R rarr R be a function defined by f(x)= (x-3)^(n(1)) (x-5)^(n(2...

    Text Solution

    |

  7. Let f be a real valued continuous function on [0,1] and f(x)= x + int(...

    Text Solution

    |

  8. If int(0)^(2) (sqrt2x - sqrt(2x- x^(2))) dx= int(0)^(1) (1- sqrt(1-y^(...

    Text Solution

    |

  9. If y= y(x) is the solution of the differential equation (1+ e^(2x)) (d...

    Text Solution

    |

  10. Let P: y^(2) = 4ax, a gt 0 be a parabola with focus S. Let the tangen...

    Text Solution

    |

  11. Let a triangle ABC be inscribed in the circle x^(2)- sqrt2 (x+y) + y^(...

    Text Solution

    |

  12. Let (x-2)/3=(y+1)/-2=(z+3)/-1 lie on the plane px-qy+z=5 for some p,q ...

    Text Solution

    |

  13. The distance of the origin from the centroid of the triangle whose two...

    Text Solution

    |

  14. Let Q be the mirror image of the point P(1,2,1) with respect to the pl...

    Text Solution

    |

  15. Let A, B, C be three points whose position vectors respectively are ve...

    Text Solution

    |

  16. Find the probability that a relation {x,y} to {x,y} is symmetric as we...

    Text Solution

    |

  17. The number of values of a in N such that the variance of 3, 7, 12, a, ...

    Text Solution

    |

  18. From the base of a pole of height 20 meter, the angle of elevation of ...

    Text Solution

    |

  19. Negation of th eBoolean statement (p vv q) rArr ((~r) vv p) is equival...

    Text Solution

    |

  20. Let n ge 5 be an integer. If 9^(n)- 8n-1 = 64 alpha and 6^(n)- 5n-1 = ...

    Text Solution

    |