Home
Class 12
MATHS
The value of lim(xto oo) {(x^4sin((1)/(x...

The value of `lim_(xto oo) {(x^4sin((1)/(x))+x^2)/(1+|x^3|)}` 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_(xrarr oo) {(x^4sin((1)/(x))+x^2)/(1+|x^3|)} is

The value of lim_(x rarr-oo)(x^(4)sin((1)/(x))+x^(2))/(1+|x^(3)|)

Evaluate lim_(xto oo)e^(x)sin (d//e^(x)) .

The value of lim_(x to oo) ((x^(2)-2x+1)/(x^(2)-4x+2)) is

The value of lim_(x to oo)((1+3x)/(2+3x))^((1-sqrt(x))/(1-x)) is

lim_(xto oo)(x/(1+x))^(x) is

The value of lim_(xto oo)(x+2)tan^(-1)(x+2)-(xtan^(-1)x) is

The value of lim_(x rarr oo)[((x+1)^(2)-1)/(x)] is

A DAS GUPTA-Limit, Indetermine Form-Exercise
  1. The value of lim(xto oo) {(x^4sin((1)/(x))+x^2)/(1+|x^3|)} is

    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

    |