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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

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

Evaluate the following: lim_(xrarr0)(sin^2 2x)/(tan^2 3x)

Find the following: lim_(xrarr0)(1+x)^(1//x)

Evaluate the following: lim_(xrarr0)(sin^2 3x sin5x)/(tan^2 5x tan (x/2))

Evaluate the following: lim_(xrarr0)(sqrt(a+x)-sqrt(a-x))/x

Evaluate the following limit: (lim)_(x->1)(x^3+3x^2-6x+2)/(x^3+3x^2-3x-1)

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

Find the following: lim_(xrarr0^+)({x})^(1//x)

lim_(xrarr2) (sqrt(3-x)-1)/(2-x)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If in a Delta ABC , cos a cos B +- sin A sin B sin C = 1, then show th...

    Text Solution

    |

  2. Which of the following is and determinate form (lim)(xvec1)(x^3-1)/(x-...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If f(x)=e^(g(x)) and g(x)=int(2)^(x)(tdt)/(1+t^(4)), the find the valu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. lim(xto oo) (int(0)^(x)(tan^(-1)t)^2dt)/(sqrt(x^(2)+1)) has the value ...

    Text Solution

    |

  14. If in a triangle r1=r2+r3+r , prove that the triangle is right angled.

    Text Solution

    |

  15. The determinant of the matrix A=|(1,1,1),(1,omega,omega^2),(1,omega^2,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Let f : R to R be a differentiable function and f(1) = 4. Then, the va...

    Text Solution

    |

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

    Text Solution

    |

  20. For x in R the expression (x ^(2) +2x +c)/(x ^(2)+ 4x + 3x ) can take ...

    Text Solution

    |