Home
Class 12
MATHS
lim(x->oo)((2x^2+3)/(2x^2+5))^(8x^2+3)...

`lim_(x->oo)((2x^2+3)/(2x^2+5))^(8x^2+3)`

Text Solution

Verified by Experts

The correct Answer is:
`e^(-8)`
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_(xtooo)((2x^(2)+3)/(2x^(2)+5))^(8x^(2)+3) is equal to

The value of lim_(xrarroo)((x^2 +2x+3)/(2x^2+x+5))^((3x+2)/(3x+2)) , is

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

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

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

lim_(xrarr oo)((x^2+4x-3)/(x^2-2x+5))^x is equal to

lim_ (x rarr oo) ((2x ^ (2) +3) / (2x ^ (2) +5)) ^ (8x ^ (2) +3)

lim_(x to oo) ((x^(2)+ 5x+3)/(x^(2)+x+3))^(x) is equal to

Value of lim_(x rarr oo)((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2)) is

MOTION-LIMIT-EXERCISE-3
  1. lim(x->0) tan^(-1) (a/x^2), where a in R

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. lim(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

    Text Solution

    |

  10. underset( x rarr 0 ) ("Lim") [ ((1+x)^(1//x))/( e ) ]^(1//x)

    Text Solution

    |

  11. underset( x rarr oo) ("Lim") ((cos h ( pi //x))/(cos( pi//x)))^(x^(2))

    Text Solution

    |

  12. Evaluate lim(x->1)(root13 x- root 7 x)/(root5 x- root3 x)

    Text Solution

    |

  13. lim[x->1] ([sum[k=1]^100x^k]-100])/(x-1)

    Text Solution

    |

  14. lim(x ->oo)x^(2)(sqrt((x+2)/(x))-root(3)((x+3)/(x))) equals

    Text Solution

    |

  15. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

    Text Solution

    |

  16. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

    Text Solution

    |

  17. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

    Text Solution

    |

  18. At the end points A,B of the fixed segment of length L, lines are draw...

    Text Solution

    |

  19. At the endpoint and midpoint of a circular are AB, tangent lines are ...

    Text Solution

    |

  20. lim(x->0) [ ln(1+sin^2x) cot ln^2(1+x)]

    Text Solution

    |