Home
Class 12
MATHS
The value of lim(x->1) y^3/(x^3-y^2-1) ...

The value of `lim_(x->1) y^3/(x^3-y^2-1)` as `(x, y)-> (1, 0)` along the line `y = x -1` is

Promotional Banner

Topper's Solved these Questions

  • Limit, Indetermine Form

    A DAS GUPTA|Exercise Exercise|64 Videos
  • Inverse Circular Functions

    A DAS GUPTA|Exercise Exercise|45 Videos
  • Main Tests

    A DAS GUPTA|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(x rarr1)(y^(3))/(x^(3)-y^(2)-1) as (x,y)rarr(1,0) along the line y=x-1 is

The value of (x , y) if 5^(x) + 3^(y) = 8,5^(x-1) + 3^(y-1) = 2 is :

value of x^(3)-y^(3) if (x)/(y)+(y)/(x)=-1,(x,y!=0)

Find the value of (( x -y )^3 + ( y - z )^3 + ( z - x )^3 )/ (9 ( x - y )( y - z ) ( z - x )) 1 . 0 2 . 1/9 3 . 1/3 4. 1

If (x+1,1)=(3,y-2), find the value of x and y.

The value of (1)/(x-y)|[1,0,0],[3,x^(3),1],[5,y^(3),1]| is -

If (x)/(y)+(y)/(x)=-1 , where x,y ne 0 then the value of (x^3-y^3) is

A DAS GUPTA-Limit, Indetermine Form-Exercise
  1. The value of lim(x->1) y^3/(x^3-y^2-1) as (x, y)-> (1, 0) along the ...

    Text Solution

    |

  2. lim(x rarr1)(sqrt(x^(2)+8)-sqrt(10-x^(2)))/(sqrt(x^(2)+3)-sqrt(5-x^(2)...

    Text Solution

    |

  3. Evaluate: lim(xrarro) root(3)(1+x^2-1)/x^2

    Text Solution

    |

  4. Evaluate: lim(xrarr0) ((1+x)^(1/3)-root(3)(1-sinx))/x

    Text Solution

    |

  5. lim(x to 0) (root(3)(1+sin x)- root(3)(1-sinx))/x=

    Text Solution

    |

  6. Evaluate the following limits : underset(xrarr0)"lim"(sqrt(cosx)-ro...

    Text Solution

    |

  7. The value of lim(x rarr pi/4) sqrt(1 - sqrt(sin 2x))/(pi - 4x) is

    Text Solution

    |

  8. Evaluate: ("lim")(xvecoo)x^3{sqrt(x^2+sqrt(1+x^4))-xsqrt(2)}

    Text Solution

    |

  9. Evaluate: lim(xrarr -1)(x+1)/(root(4)(x+17)-2)

    Text Solution

    |

  10. Evaluate: ("lim")(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

    Text Solution

    |

  11. Evaluate: lim(xrarr0) (2^x-9^x-3(x+1))/(sqrt2- sqrt1+cosx)

    Text Solution

    |

  12. Find the limits: lim(x rarroo) ((x^2-2x+2)/(x^2-4x+1))^x

    Text Solution

    |

  13. The value lim(xtopi//2)(sinx)^(tanx), is

    Text Solution

    |

  14. Find the limits: lim(x rarr 0) (sin x/x)^(1/x)

    Text Solution

    |

  15. Find the limits: lim(x rarr 0) (sin x +cos x)^(1/x)

    Text Solution

    |

  16. Find the limits: lim(x rarr 0) (sec sqrt(x))^(10/x)

    Text Solution

    |

  17. (lim)(x->1)(2-x)^(tan(pix)/2)

    Text Solution

    |

  18. lim(x rarr 0+)(ln cotx)^(tanx)=

    Text Solution

    |

  19. If f is derivable at x =a,then underset(xto a ) lim( (xf(a) -af( x))/...

    Text Solution

    |

  20. lim(x rarr oo) (sqrt(x^2-x+1)-a x-b)=0, then a+b=

    Text Solution

    |

  21. The value of lim(x->1) (x^n+x^(n-1)+x^(n-2)+....x^2+x-n)/(x-1) is

    Text Solution

    |