Home
Class 12
MATHS
If lim(xto-oo)((3x^(4)+2x^(2)).sin(1/x)+...

If `lim_(xto-oo)((3x^(4)+2x^(2)).sin(1/x)+|x|^(3)+5)/(|x|^(3)+|x^(2)|+|x|+1)=k` then `|k/2|` is …….

Text Solution

Verified by Experts

The correct Answer is:
`-2`
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-2(LEVEL-2)|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

Similar Questions

Explore conceptually related problems

lim_ (x rarr-oo) ((3x ^ (4) + 2x ^ (2)) sin ((1) / (x)) + | x | ^ (3) +5) / (| x | ^ (3 ) + | x | +1)

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

lim_(x rarr oo)((3x^(2)+1)/(2x^(2)-1))^((x^(3))/(1-x))

lim_(x rarr oo)((3x^(2)+1)/(2x^(2)-1))^((x^(3))/(1-x))

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

Evaluate lim_(xto0)((1+5x^(2))/(1+3x^(2)))^(1//x^(2))

lim_ (x rarr oo) (x ^ (4) + 3x ^ (3) -2x ^ (2) +5) / (x ^ (3) -3x ^ (2) + 2x-1)

lim_ (x rarr-oo) [(x ^ (4) sin ((1) / (x)) + x ^ (2)) / ((x + | x | ^ (3)))] =

MOTION-LIMIT-EXERCISE-3
  1. underset( x rarr (3pi)/( 4))("Lim")(1+ root( 3)(tan x))/( 1-2 cos^(2) ...

    Text Solution

    |

  2. Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...

    Text Solution

    |

  3. If lim(xto-oo)((3x^(4)+2x^(2)).sin(1/x)+|x|^(3)+5)/(|x|^(3)+|x^(2)|+|x...

    Text Solution

    |

  4. lim(n->oo)sum(r=2)^n((r+1)sinpi/(r+1)-rsinpi/r)

    Text Solution

    |

  5. underset( xrarr oo )("Lim")x^(2) sin(lnsqrt( cos ""( pi)/( x)))

    Text Solution

    |

  6. Letf(x) = underset( n rarr oo)("Lim")underset( n=1)overset( n ) ( sum)...

    Text Solution

    |

  7. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

    Text Solution

    |

  8. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

    Text Solution

    |

  9. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

    Text Solution

    |

  10. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

    Text Solution

    |

  11. Evaluate the limit if exists, lim(x->1)[{ln(1+x)-ln2}{3.4^[x-1]-3x}]...

    Text Solution

    |

  12. lim(x->0)(2 7^x-9^x-3^x+1)/(sqrt(2)-sqrt(1+cosx))

    Text Solution

    |

  13. lim(x->0) tan^(-1) (a/x^2), where a in R

    Text Solution

    |

  14. Plot the graph of the function f(x)=lim(t->0)((2x)/pitan^(- 1)x/(t^2))

    Text Solution

    |

  15. lim(x->oo)((2x^2+3)/(2x^2+5))^(8x^2+3)

    Text Solution

    |

  16. lim(x->oo)((x+c)/(x-c))^x= 4 then find c.

    Text Solution

    |

  17. Evaluate: lim(x->oo) { ((a1)^(1/x)+(a2)^(1/x)+.... +(an)^(1/x))/n}^(n...

    Text Solution

    |

  18. L =lim(x->0)((1)/(ln(1+x))-1/(ln(x+sqrt(1+x^2)))) then find the value ...

    Text Solution

    |

  19. underset( x rarr 0 ) ( "Lim") ((x- 1+ cos x )/( x))^((1)/( x))

    Text Solution

    |

  20. underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q

    Text Solution

    |