Home
Class 12
MATHS
The value of lim(xrarroo) ((3x-4)/(3x+2)...

The value of `lim_(xrarroo) ((3x-4)/(3x+2))^(((x+1)/3))` is

A

`e^(-2//3)`

B

`e^(-1//3)`

C

`e^(-2)`

D

`e^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|5 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

The value of lim_(xtooo) ((3x-4)/(3x+2))^(((x+1)/3)) is

The value of lim_(xtooo) ((3x-4)/(3x+2))^(((x+1)/3)) is

The value of lim_(xrarroo) ((x-1)/(x+1))^(x) , is

The value of lim_(xrarroo) ((x+3)/(x-1))^(x+1) is

The value of lim_(xrarroo) (sinx)/(x) , is

lim_(xrarroo) (2x)/(1+4x)

The value of lim_(xrarroo)((x+6)/(x+1))^(x+4) , is

lim_(xrarroo) (sinx)/(x)=?

lim_(xrarroo) (cosx)/(x)=?

The value of lim_(xrarroo) ((x^2+6)/(x^2-6))^(x) is given by

OBJECTIVE RD SHARMA ENGLISH-LIMITS-Exercise
  1. The value of lim (xto0) (cos (sin x )- cos x)/(x ^(4)) is equal to :

    Text Solution

    |

  2. The value of underset(xto1)lim(2-x)^(tan((pix)/(2))) is

    Text Solution

    |

  3. The value of lim(xrarroo) ((3x-4)/(3x+2))^(((x+1)/3)) is

    Text Solution

    |

  4. lim(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

    Text Solution

    |

  5. The value of lim(xrarr0) ((1+tanx)/(1+sin x))^(cosec x) , is

    Text Solution

    |

  6. lim(x rarr 0)((5x^2+1)/(3x^2+1))^(1//x^2)

    Text Solution

    |

  7. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  8. The value of lim(x->0) ( int0 ^ (x^2) cost^2 dt)/( xsin x) is

    Text Solution

    |

  9. ("lim")(xvec0)(1n(1+2h)-21 n(1+h))/(h^2)=

    Text Solution

    |

  10. The value of lim(xrarr1)(log5 5x)^(logx5) , is

    Text Solution

    |

  11. The value of lim(xrarr1)(log2 2x)^(logx5), is

    Text Solution

    |

  12. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

    Text Solution

    |

  13. If 0lt xlty, then lim(xrarroo) (y^n+x^n)^(1//n) is equal to

    Text Solution

    |

  14. Evaluate the limit: ("lim")(xvecoo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

    Text Solution

    |

  15. lim(xrarr1)(1-x)tan((pix)/2) is equal to

    Text Solution

    |

  16. The value of lim(xrarr0) (x(5^x-1))/(1-cos x), is

    Text Solution

    |

  17. Evaluate underset(xto2)limsin(e^(x-2)-1)/(log(x-1))

    Text Solution

    |

  18. The value of lim(xrarroo) {(x^2sin((1)/(x))-x)/(1-|x|)}, is

    Text Solution

    |

  19. If f(x)=((x^2+5x+3)/(x^2+x+2))^x then lim(xrarroo)f(x) is equal to

    Text Solution

    |

  20. The value of lim(xrarroo) a^xsin ((b)/(a^x)) is (agt1)

    Text Solution

    |