Home
Class 12
MATHS
lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e...

`lim_(x rarr oo) (int_(0)^(2x) xe^(2)dx)/(e^(4x^(2)))` equals :

A

0

B

`oo`

C

2

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|11 Videos
  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos
  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr oo) (1+2/n)^(2n)=

lim_(x rarr oo) (1-2/x)^(x) =

lim_(x rarr 0) (sin(4x)/(5x) )=

lim_(x rarr 0) (sin^(2)(x/4))/(x^(2)) =

lim_(x rarr 0) (3^(x)-2^(x))/x=

int_0^(oo) x e^(-x) dx=

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

lim_(x rarr 0) (e^(x)-(1+x))/x^(2) =

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

MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
  1. If sum(r = 1)^(k) cos^(-1) beta r = (kpi)/(2), "for any k" ge 1 and A ...

    Text Solution

    |

  2. The value of lim(x rarr 0) (int(0)^(x^(2))cos t^(2)dt)/(x sin x) is :

    Text Solution

    |

  3. lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :

    Text Solution

    |

  4. lim(x rarr 2) (sqrt(x-2) + sqrt(x) - sqrt(2))/(sqrt(x^(2) - 4)) is equ...

    Text Solution

    |

  5. lim(x rarr 0) (x sqrt(y^(2) - (y - x)^(2)))/((sqrt(8xy - 4x^(2)) + sqr...

    Text Solution

    |

  6. If S(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +……. to n terms, then lim(n...

    Text Solution

    |

  7. Let the rth term, t(r), of a series is given by : t(r) = (r)/(1+r^(2) ...

    Text Solution

    |

  8. Let f(x), g(x) be differentiable functions and f(1) = g(1) = 2, then :...

    Text Solution

    |

  9. Let {x} denote the fractional part of xlim Then lim(X rarr 0) ({x})/(t...

    Text Solution

    |

  10. lim(n rarr oo) [(1)/(1-n^(4))+(8)/(1-n^(4))+…...+(n^(3))/(1-n^(4))] eq...

    Text Solution

    |

  11. lim(x rarr pi//3) (2 sin (x-pi//3))/(1-2 cos x) equals :

    Text Solution

    |

  12. Let f(x) = {{:(x (sin 1//x + sin (1//x^(2))),,x ne 0),(0,,x = 0):} The...

    Text Solution

    |

  13. lim(x rarr 0) (tan [e^(2)]x^(2)-tan[-e^(2)]x^(2))/(sin^(2)x) equals :

    Text Solution

    |

  14. If lim(x rarr 0) (1+px)^(q//x) = e^(4), where p, q, in N, then :

    Text Solution

    |

  15. Let f(x) = 3x^(10) - 7x^(8) + 5x^(6) - 21x^(3) + 3x^(2) - 7. Then lim(...

    Text Solution

    |

  16. Let f(x) = lt x gt^("*"), where lt x gt^("*") is the distance from x t...

    Text Solution

    |

  17. lim(x rarr 2^(+)) (([x]^(3))/(3) - [(x)/(3)]^(3)) equals :

    Text Solution

    |

  18. If the function f(x) = [((cos x)^(1//x),x ne 0),(k,x = 0):} is continu...

    Text Solution

    |

  19. Let f(x) = |x| "cos" (1)/(x) + 15x^(2), x ne 0, = k, x = 0, then f(x...

    Text Solution

    |

  20. If lim(x rarr a^(+)) f(x) = l = lim(x rarr a^(-)) g(x) and lim(x rarr ...

    Text Solution

    |