Home
Class 12
MATHS
lim(xrarr0) ((3x^2 + 2)/ (7x^2 +2))^(1/x...

`lim_(xrarr0) ((3x^2 + 2)/ (7x^2 +2))^(1/x^2) ` is equal to

A

` e^(2) `

B

` e`

C

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

D

`(1)/(e)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr0) (x^(2)-3x+2)

lim_(xrarr0) (x^(2)-x)/(sinx)

lim_(xrarr0) (sin 3 x)/(2x)

lim_( xrarr0) (1-cosx)/(x^(2))

The value of lim_(xrarr0^(+)){x^(x^(2))+x^((x^(x)))} is equal to

lim_(xrarr0) (3x+|x|)/(7x-|x|) , is

lim_(xrarr0) (log(x^(x^(2))+2sqrtx))/(tansqrtx) is equal to

lim_(xrarr0) (6^(x)-3x^(2)-2^(x)+1)/(x^(2))=?

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. Roots of the equation x^2 + bx + 45 = 0, b in R lie on the curve |z + ...

    Text Solution

    |

  2. Let y= y(x) be a solution the diFIGUREFIGUREerential equation, sq...

    Text Solution

    |

  3. lim(xrarr0) ((3x^2 + 2)/ (7x^2 +2))^(1/x^2) is equal to

    Text Solution

    |

  4. If maximum value of .^19 Cp is a, .^20 Cq is b, .^21 Cr is c, then rel...

    Text Solution

    |

  5. An urn contains 5 red marbels,4 black marbels and 3 white marbles. The...

    Text Solution

    |

  6. The sum sum(k=1)^(20) (1+2 +3 +....+k ) is

    Text Solution

    |

  7. A is a 3 xx 3 matrix whose elements are from the set { -1, 0, 1}. Find...

    Text Solution

    |

  8. If normal at P on the curve y^2 - 3x^2 + y + 10 = 0 passes through the...

    Text Solution

    |

  9. The equation 2x^2 + (a - 10)x + 33/2 = 2a has real roots. Find least p...

    Text Solution

    |

  10. A circle touches the y-axis at the point (0, 4) and passes through th...

    Text Solution

    |

  11. If f(x) is twice differentiable and continuous function in x in [a,b] ...

    Text Solution

    |

  12. Value of cos^3 (pi/8)cos^3 ((3pi)/8) + sin^3 (pi/8)sin^3 ((3pi)/8) is

    Text Solution

    |

  13. The negation of 'sqrt5 is an integer or 5 is an irrational number' is

    Text Solution

    |

  14. Find the integration int dx /((x - 3)^(6/7)(x + 4)^(8/7) =

    Text Solution

    |

  15. A sphere of 10cm radius has a uniform thickness of ice around it. Ice ...

    Text Solution

    |

  16. Let C be the entroid of the triangle with vertices (3, -1) and ( 2, 4...

    Text Solution

    |

  17. In a bag there are 20 cards 10 names A and another 10 names B. Cards a...

    Text Solution

    |

  18. F(x) = {( (sin(a+2)x + sin x)/x , x lt 0), (b , x = 0), (((x + 3x^2 )^...

    Text Solution

    |

  19. If A=[[1,1,2],[1,3,4],[1,-1,3]], B=adj(A) and C=3A then (|adj(B)|)/(|C...

    Text Solution

    |

  20. If number of 5 digit numbers which can be formed without repeating any...

    Text Solution

    |