Home
Class 12
MATHS
lim(xto oo)(x/(1+x))^(x) is...

`lim_(xto oo)(x/(1+x))^(x)` is

A

`e`

B

`e^(-1)`

C

`e^(2)`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

If C satisfies the equation lim_(xto oo)((x+c)/(x-c))^(x)=4 then |(e^(c))/2| is ………

Let f : R to R be a real function. The function f is double differentiable. If there exists ninN and p in R such that lim_(x to oo)x^(n)f(x)=p and there exists lim_(x to oo)x^(n+1)f(x) , then lim_(x to oo)x^(n+1)f'(x) is equal to

Evaluate lim_(xto oo)(ax^(2)+b)/(x+1) when age0

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

lim_(x rarr oo)(log(1+x))/(x)

The quadratic equation whose roots are the minimum value of sin^(2)theta-sin theta+1/2 and lim_(xto oo)sqrt((x+1)(x+2))-x is

Statement 1: lim_(xto oo)(1/(x^(2))+2/(x^(2))+3/(x^(2))+…………..+x/(x^(2)))=lim_(xto oo)1/(x^(2))+………….+lim_(xto oo)x/(x^(2))=0 Statement 2: lim_(xtoa)(f_(1)(x)+f_(2)(x)+………..+f_(n)(x))=lim_(xtoa)f_(1)(x)+………….+lim_(xtoa)f_(n)(x) provided each limit exists individually.

If lim_(xto oo){(x^2+1)/(x+1)-(ax+b)}to oo , then

The value of lim_(xto oo)(x+2)tan^(-1)(x+2)-(xtan^(-1)x) is

If lim_(xtoa)f(x)=1 and lim_(xtoa)g(x)=oo then lim_(xtoa){f(x)}^(g(x))=e^(lim_(xtoa)(f(x)-1)g(x)) lim_(xto0)((x-1+cosx)/x)^(1/x) is equal to

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. Let f and g be differentiable functions satisfying g'(a) = 2 g(a) = b ...

    Text Solution

    |

  2. Evaluate: ("lim")(n→oo)(n^p sin^2(n !))/(n+1)

    Text Solution

    |

  3. lim(xto oo)(x/(1+x))^(x) is

    Text Solution

    |

  4. If 0 lt alpha lt beta then underset(n to oo)(lim) (beta^(n) + alpha^(n...

    Text Solution

    |

  5. the value of lim(n->oo) {1/(n^3+1)+4/(n^3+1)+9/(n^3+1)+..................

    Text Solution

    |

  6. lim(n to oo)sum(r=1)^(n)cot^(-1)(r^(2)+3//4) is (a) 0 (b) tan^(-1)1 (...

    Text Solution

    |

  7. Evaluateunderset(xto pi//4)lim(2-tanx)^(1//1n(tanx))

    Text Solution

    |

  8. underset(xrarr(pi)/(4))(lim)(int(2)^(sec^(2)x)f(t)dt)/(x^(2-)(pi^(2))/...

    Text Solution

    |

  9. lim(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (...

    Text Solution

    |

  10. lim(xto0)((e^(x)-1)/x)^(1//x)

    Text Solution

    |

  11. If [.] denotes the greatest integer function then lim(x->oo)([x]+[2x]...

    Text Solution

    |

  12. ("lim")(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1))i se q u a lto ...

    Text Solution

    |

  13. lim(x to oo) (( 1+x+x^(3)))/((ln x)^(3)) is equal to

    Text Solution

    |

  14. int cot^6x cosec^2xdx

    Text Solution

    |

  15. underset(xtooo)lim(e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

    Text Solution

    |

  16. lim(x->0) ((1+x)^(1/x)-e)/x is equal to

    Text Solution

    |

  17. lim(xto0)(((1+x)^(1//x))/e)^(1/(sinx)) is equal to

    Text Solution

    |

  18. lim(x->-oo)(x^5tan(1/(pix^2))+3|x^2|+7)/(|x^3|+7|x|+8) is equal to: a....

    Text Solution

    |

  19. Let f(x)=3x^10-7x^8+5x^6-21x^3+3x^2-7 , then the value of lim(h->0)...

    Text Solution

    |

  20. lim(x->a){[(a^(1/2)+x^(1/2))/(a^(1/4)-x^(1/4)))^(- 1)-(2(a x)^(1/4))/(...

    Text Solution

    |