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

`lim_(xrarr oo) (int_(0) ^(2x)xe^(x^(2))dx)/(e^(4x^2))`

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

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|96 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

lim_(x to oo)(int_0^(2x) te^(t^(2))dt)/(e^(4x^(2))) equals

int_(0)^(4)(x+e^(2x))dx

lim_(xrarroo)((int_(0)^(x)e^(t^(2))dt)^(2))/(int_(0)^(x)e^(2t^(2))dt) is equal to

int x.e^(2x)dx

lim_(x to 0)(int_(0^(x) x e^(t^(2))dt)/(1+x-e^(x)) is equal to

lim_(x rarr oo)e^(-x)x^(2)

1. int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)(x^(2)+1)/(x^(4)+7x^(2)+1)dx=

int_(0)^(1)e^(2x)e^(e^(x) dx =)

Evaluate: lim_(x->oo)((int_0^xe^(x^2)dx)^2)/(int_0^x e^(2x^2)dx)

OBJECTIVE RD SHARMA ENGLISH-LIMITS-Chapter Test
  1. Let f (2) = 4 f(2) = 4 Then Lt(x to 2) (x f(2) -2 f(x))/(x -2) is

    Text Solution

    |

  2. lim(x->0) 1/x [inty ^a)e^(sin^2t) dt-int(x+y) ^a)e^(sin^2t)dt] is equ...

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate underset(xto0)lim(3x+|x|)/(7x-5|x|).

    Text Solution

    |

  5. Let alpha, beta (a lt b) be the roots of the equation ax^(2)+bx+c=0. I...

    Text Solution

    |

  6. Given that lim(nto oo) sum(r=1)^(n) (log (r+n)-log n)/(n)=2(log 2-(1...

    Text Solution

    |

  7. ("lim")(xvec0)((1^x+2x+3^x++n^x)/n)^(1//x)i se q u a lto (n !)^n (b)...

    Text Solution

    |

  8. lim(x to 0) (x tan 2x -2x tan x)/((1- cos 2x)^(2)) equal

    Text Solution

    |

  9. If lim(xrarroo) {ax-(x^2+1)/(x+1)}=b , a finite number, then

    Text Solution

    |

  10. If f(1) =g(1)=2, then lim(xrarr1) (f(1)g(x)-f(x)g(1)-f(1)+g(1))/(f(x)-...

    Text Solution

    |

  11. Let f(x) be a twice-differentiable function and f''(0)=2. Then evaluat...

    Text Solution

    |

  12. Evaluate : ("lim")(xvecpi/4)(1-cot^3x)/(2-cotx-cot^3x)

    Text Solution

    |

  13. lim(xto0) (1)/(x^12){1-cos (x^2/2)-cos (x^4/4)+cos (x^2/2) cos (x^4/4)...

    Text Solution

    |

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

    Text Solution

    |

  15. lim(xrarr oo) ((3x^2+2x+1)/(x^2+x+2))^((6x+1)/(3x+1)) , is equal to

    Text Solution

    |

  16. The value of lim(xrarr0) (3sqrt(1+sinx )-3sqrt(1-sinx))/(x), is

    Text Solution

    |

  17. Evaluate: ("lim")(h->0)((a+h)^2sin(a+h)-a^2sina)/h

    Text Solution

    |

  18. lim(h -> 0) (sin(a+3h)-3sin(a+2h)+3sin(a+h)-sina)/h^3 =

    Text Solution

    |

  19. Let a=min{x^(2)+2x+3,x epsilonR} and b=lim(x theta to 0)(1-cos theta)/...

    Text Solution

    |

  20. If lim(xrarr0) (log (3+x)-log (3-x))/(x)=k, the value of k is

    Text Solution

    |