Home
Class 12
MATHS
If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx...

If `f(n)=int_(0)^(2015)(e^(x))/(1+x^(n))dx`, then find the value of `lim_(nto oo)f(n)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If I_(n)=int_(0)^(2)(2dx)/((1-x^(n))) , then the value of lim_(nrarroo)I_(n) is equal to

The value of lim_(nto oo){3sqrt(n^2-n^3)+n} , is

If lim_(n->oo)1/((sin^(-1)x)^("n")+1)=1 ,t h e n find the value of x.

If lim_(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim_(x->0)[1+(f(x))/x]^(1/x))i s____

If int_0^oo x^(2n+1)\ e^(-x^2)\ dx=360, then the value of n is___

Let f(x)=lim_( n to oo)(cosx)/(1+(tan^(-1)x)^(n)) . Then the value of int_(o)^(oo)f(x)dx is equal to

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_-1^(2)f(x)dxdot

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_2^(-1)f(x)dxdot

If f(x)=lim_(nrarroo) (cos(x)/(sqrtn))^(n) , then the value of lim_(xrarr0) (f(x)-1)/(x) is

The value of lim_(x->oo)(1+1/x^n)^x,n>0 is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Consider the following equation is x and y:(x-2y-1)^(2)+(4x+3y-4)^(2...

    Text Solution

    |

  2. The value of a^(sqrt((log)a b))-b^(sqrt((log)b a))(w h e r ea ,b >0a n...

    Text Solution

    |

  3. If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx, then find the value of lim(n...

    Text Solution

    |

  4. Two functions f(x)a n dg(x) are defined as f(x)=(log)3|(x-2)/(x^2-10 x...

    Text Solution

    |

  5. Find the value of (23.17)^((1)/(5.76)) using log table.

    Text Solution

    |

  6. The number of integer belonging to the interval [-3, 30] but not belon...

    Text Solution

    |

  7. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  8. Find number of digits in 18^20

    Text Solution

    |

  9. Consider the function f(x)=(sec^(-1)x)^2+(cos e c^(-1)x)^2 then Range ...

    Text Solution

    |

  10. It the first and (2n-1)^(th) terms of an A.P.,a G.P. and an H.P. of po...

    Text Solution

    |

  11. A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved a...

    Text Solution

    |

  12. Which of the following statements are incorrect? I. If f(x) and g(x) a...

    Text Solution

    |

  13. Find the value of x satisfying the equation ((log)3 root(3)(3x)+(log)x...

    Text Solution

    |

  14. A relation R is defined on the set of circles such that "C(1)RC(2)impl...

    Text Solution

    |

  15. Let a(1),a(2),a(3), be three positive numbers which are G.P. with comm...

    Text Solution

    |

  16. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

    Text Solution

    |

  17. Which of the following set of value of x satisfy the inequality x^2-4x...

    Text Solution

    |

  18. The value of k for which product of two of the roots of the equation x...

    Text Solution

    |

  19. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  20. If the equation of plane containing the line x-y+z=0a n dx+y+z-2=0 and...

    Text Solution

    |