Home
Class 12
MATHS
lim(x to oo) (( x +6)/(x + 1))^(x + 4) ...

`lim_(x to oo) (( x +6)/(x + 1))^(x + 4) ` is equal to

A

`e^(4)`

B

`e^(6)`

C

`e^(5)`

D

e

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    SIA PUBLICATION|Exercise PROBLEMS|50 Videos
  • LOCUS AND TRANSFORMATION OF AXES

    SIA PUBLICATION|Exercise Problems|11 Videos

Similar Questions

Explore conceptually related problems

lim_(x to oo) ((x+a)/(x + b))^(a + b) is equal to

lim_( x to 0) ( sin x sin^( -1) x)/(x^(2) is equal to

lim_(x to 0) ((x10^(x) -x)/ ( 1 cos x)) is equal to

lim_(x to 0) ( 4^(x) - 9^(x))/(x ( 4^(x) + 9^(x)) is equal to

underset(x to oo)"Lt" ((x+6)/(x+1))^(x+4)=

SIA PUBLICATION-LIMITS AND CONTINUITY-Problems
  1. If f(x) = x tan^(-1) x, " then " lim(x to 1) (f(x) - f(1))/(x-1) ...

    Text Solution

    |

  2. lim(x to 0) (tan^(3) x - sin^(3) x )/ x^(5) is equal to

    Text Solution

    |

  3. lim(x to oo) (( x +6)/(x + 1))^(x + 4) is equal to

    Text Solution

    |

  4. Let F : R to R be defined by f(x)= {:{ (alpha + (sin[x])/x ,...

    Text Solution

    |

  5. lim(xto 8) (sqrt(1 + sqrt(1 + x -2))/(x -8) is equal to

    Text Solution

    |

  6. If [x] denotes the greatest integer not exceeding x and if the functi...

    Text Solution

    |

  7. Lim(x to 0) ( tan x - sin x)/x^(2) is equal to

    Text Solution

    |

  8. If : R to R defined by f(x) = {:{ ((1 +3x^(2) - cos2x)/x^(2) , " f...

    Text Solution

    |

  9. lim(x to oo) ((x+5)/(x +2 ))^(x +3) equals

    Text Solution

    |

  10. If f: R to R is defined by f(x) = {:{((2 sin x - sin 2x)/( 2 x cosx...

    Text Solution

    |

  11. lim(x to 0) (1 -e^(x) sin x)/ ( x^(2) + x^(3) ) is equal to

    Text Solution

    |

  12. If f : R to R is defined by f (x) f(x) = [ x -3] + | x -4| for ...

    Text Solution

    |

  13. If f : R to R is defined by f(x) = {:{ ((cos 3x - cos x)/(x^(2) ),...

    Text Solution

    |

  14. If f (2) =4 and f (2) =1 , " then " lim(x to 2) (x f(2) - 2f(x))/(...

    Text Solution

    |

  15. lim(x to 0) (e^(x) - e^(sin x)/ ((x - sin x)) is equal to

    Text Solution

    |

  16. if f(x) = {: (x-5, " for " x le 1), ( 4x^(2) -9 , " for " 1 lt x lt ...

    Text Solution

    |

  17. If f(x) = {:{ (( sin (1 + [x]))/[x], " for " [x] ne 0), (0 , " for ...

    Text Solution

    |

  18. If 0 < p <q then lim( n to oo) ( q^(n) + p^(n))^(1//n) is equal to

    Text Solution

    |

  19. lim(x to oo) [ sqrt(x^(2) + 2x -1) -x] is equal to

    Text Solution

    |

  20. If lim(xto 0) ( (cos 4x + acos 2x + b)/(x^(4) ) is finite , then th...

    Text Solution

    |