Home
Class 12
MATHS
Evaluate the following: lim(xrarr1)(x^3-...

Evaluate the following: `lim_(xrarr1)(x^3-1)/(x^2-6x+5)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limits: lim_(xrarr1)((x^(3)-x)/(x-1))

Evaluate the following limits: lim_(xrarr1)((x^(n)-1)/(x-1))

Evaluate the following: lim_(xrarr2)(x^2-4)/(sqrt(3x-2)-sqrt(6-x))

Evaluate the following limits: lim_(xrarr1)(6x^(2)-4x+3)

lim_(xrarr1)(x^2+3x-4)/(x-1)=?

lim_(xrarr1)(x^2-3x+2)/(x^2-1)=?

Evaluate the following limits: lim_(xrarr1/2)((4x^(2)-1)/(2x-1))

Evaluate the following limits: lim_(xrarr0)((2^(x)-1)/(x))

Evaluate the following limits: lim_(xrarr3)((x^(2)-4x+3)/(x^(2)-2x-3))

lim_(xrarr2) (x^(2)-5x+6)/(x^(2)-6x+8)

RESONANCE DPP-JEE MAINS-All Questions
  1. Which of the following is and determinate form (lim)(xvec1)(x^3-1)/(x-...

    Text Solution

    |

  2. Which of the following holds goods for any tiangle ABC, a,b,c are the ...

    Text Solution

    |

  3. Evaluate the following: lim(xrarr1)(x^3-1)/(x^2-6x+5)

    Text Solution

    |

  4. int(dx)/((x^2+4x+5)^2)i se q u a lto 1/2[tan^(-1)(x+1)+("x"+2)/("x"^...

    Text Solution

    |

  5. In a triangle, with usual notations, the length of the bisector of ang...

    Text Solution

    |

  6. Evaluate the following: lim(xto1/3)(3x^2+5x-2)/(9x^2-1)

    Text Solution

    |

  7. If varphi(x)=int(1/x)^(sqrt(x))sin(t^2)dt then varphi^(prime)(1)= ...

    Text Solution

    |

  8. In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdo...

    Text Solution

    |

  9. An ordinary cubical dice having six faces marked with alphabets A, ...

    Text Solution

    |

  10. If f(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4) then f^(prime)(2) has th...

    Text Solution

    |

  11. Three equal circles each of radius r touch one another. The radius of ...

    Text Solution

    |

  12. Let V be the vertex and L be the latusrectum of the parabola x^2=2y+4x...

    Text Solution

    |

  13. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

    Text Solution

    |

  14. In a triangle PQR, P is the largest angle and cosP=1/3. Further the in...

    Text Solution

    |

  15. ((lim)(xvecoo)int0x(tan^(-1)t)^2dt)/(sqrt(x^2+1))h a st h ev a l u e ...

    Text Solution

    |

  16. The inverse of the matrix A=|(1,1,1),(1,omega,omega^2),(1,omega^2,omeg...

    Text Solution

    |

  17. The number of odd divisor of the number N=2^(10). 3^5 .7^2, are 16 ...

    Text Solution

    |

  18. The equation |x+1|^(log)(("x"+1))(3+2-x^(2))=(x-3)|x| has a. unique s...

    Text Solution

    |

  19. Suppose f: R->R is a differentiable function and f(1)=4. Then value o...

    Text Solution

    |

  20. In a A B C ,A : B : C=3:5: 4. Then a+b+csqrt(2) is equal to 2b b. 2c ...

    Text Solution

    |