Home
Class 12
MATHS
lim(x to 0)((1+5x^(2))/(1+3x^(2)))^(1//x...

`lim_(x to 0)((1+5x^(2))/(1+3x^(2)))^(1//x^(2))`=

A

`e^(2)`

B

e

C

`(1)/(e )`

D

`(1)/(e^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2012

    BITSAT GUIDE|Exercise Mathematics (Single correct answer type:)|45 Videos

  • QUESTION-PAPERS-2014

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

Similar Questions

Explore conceptually related problems

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

lim_(x rarr0)((1+5x^(2))/(1+3x^(2)))^(1/x^(2))=

lim_(x rarr0)((5x^(2)+1)/(3x^(2)+1))^(1/x^(2))

lim_(x rarr0)((1+5x)/(1+3x^(2)))^((1)/(x^(2)))

lim_(x rarr0)((1+x)^(5)-1)/(3x+5x^(2))

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(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))

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

BITSAT GUIDE-QUESTION-PAPERS-2013-Mathematics
  1. The maximum value of f(x) =(log x)/(x) (x ne 0, x ne 1) is

    Text Solution

    |

  2. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  3. lim(x to 0)((1+5x^(2))/(1+3x^(2)))^(1//x^(2))=

    Text Solution

    |

  4. An object is observed from the points A, B and C lying in a horizontal...

    Text Solution

    |

  5. The function f:(-oo,-1) to (0, e^5] defined by f(x)=e^(x^(3-3x+2)) is

    Text Solution

    |

  6. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  7. The system of equations x-y+3z=4,x+z=2 x+y-z=0 has

    Text Solution

    |

  8. The sum of the sequence upto 5, 55, 555, …. upto n infinite terms is

    Text Solution

    |

  9. A plane passes through the point (1,-2,3) and is parallel to the plane...

    Text Solution

    |

  10. Distance between the pair of lines represented by the equation x^(2)-6...

    Text Solution

    |

  11. If A={x in CC : x^(4) -1=0} B={x in CC :x^(2) -1=0} C={x in CC :x^...

    Text Solution

    |

  12. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  13. The set of all real x satisfying the inequality (3-|x|)/(4-|x|)ge 0

    Text Solution

    |

  14. If N is any four digit number say x1, x2, x3, x4, then the maximum val...

    Text Solution

    |

  15. If A and B are two events such that P(A)=0.6, P(B) =0.2 and P((A)/(B))...

    Text Solution

    |

  16. What is quartile deviation for the datsa {:(,x,2,3,4,5,6),(,f,3,4,8,4,...

    Text Solution

    |

  17. If intf(x)cos x dx = 1/2 f^(2)(x)+C, then f(x) can be

    Text Solution

    |

  18. There are 10 points in a plane, out of which 6 are collinear. If N is ...

    Text Solution

    |

  19. Find the value of (""^(8)C(0))/(6)-"^(8)C(1)+^(8)C(2)xx6-^(8)C(3)xx6...

    Text Solution

    |

  20. A committee of 4 students is selected at random from a grourp consisti...

    Text Solution

    |