Home
Class 12
MATHS
The value of int0^1lim(n->oo)sum(k =0)^n...

The value of `int_0^1lim_(n->oo)sum_(k =0)^n(x^(k+2)2^k)/(k!)dx` is: (a) `e ^(2) -1` (b) `2` (c) `(e ^(2)-1)/(2)` (d) `(e ^(2) -1)/(4)`

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(n->oo) sum_(k=1)^n log(1+k/n)^(1/n) ,is

The value of lim_(n->oo)sum_(k=1)^n(6^k)/((3^k-2^k)(3^(k+1)-2^(k+1)) is equal to

The value of lim _( n to oo) sum _(k =1) ^(n) ((k)/(n ^(2) +n +2k))=

Evaluate ("lim")_(n rarr oo)sum_(k=1)^nk/(n^2+k^2)

The value of the integral int_-a^a (x e^(x^2))/(1+x^2)dx is (A) e^(a^2) (B) 0 (C) e^(-a^2) (D) a

The value of int_0^1e^(x^2-x)dx is (a) 1 (c) > e^(-1/4) (d)

The value of lim_(ntooo)(e^(n))/((1+(1)/(n))^(n^(2))) is (a) -1 (b) 0 (c) 1 (d) ∞

The value of \lim_{n \to \infty } sum_(k=1)^n (n-k)/(n^2) cos((4k)/n) equals to

The value of lim_(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2 c. e^(-2) d. 1

lim_(n->oo)sum_(k=1)^n((sin)pi/(2k)-(cos)pi/(2k)-(sin)(pi/(2(k+2))+(cos)pi/(2(k+2)))=

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Ifint0^(f(x))t^2dt=xcospix ,t h e nf^(prime)(9)i s -1/9 (b) -1/3 (c...

    Text Solution

    |

  2. IfIn=int0^pix^nsinx dx ,t h e n fin d t h e v a l u eof I5+20 I3dot

    Text Solution

    |

  3. The value of int0^1lim(n->oo)sum(k =0)^n(x^(k+2)2^k)/(k!)dx is: (a) e ...

    Text Solution

    |

  4. If I(n)=int(0)^(pi/2) sin^(n)x dx, then show that I(n)=((n-1)n)I(n-2)....

    Text Solution

    |

  5. If A=int0^1 x^(50)(2-2x)^(50)dx ,B=int0^1 x^(50)(1-x)^(50)dx , which ...

    Text Solution

    |

  6. If In=int0^1(dx)/((1+x^2)^n); n in N , then prove that 2nI(n+1)=2^(-n...

    Text Solution

    |

  7. Given that f satisfies |f(u)-f(v)|lt=|u-v| for u and v in [a , b]dot T...

    Text Solution

    |

  8. IfIn=int0^1x^n(tan^(-1)x)dx ,t h e np rov et h a t (n+1)In+(n-1)I(n-2...

    Text Solution

    |

  9. IfI=int(-20pi)^(20pi)|sinx|[sinx]dx(w h e r e[dot] denotes the greate...

    Text Solution

    |

  10. If Im=int1^x(logx)^mdx satisfies the relation (Im)=k-l I(m-1) then

    Text Solution

    |

  11. The value of the integral int0^1sqrt((1-x)/(1+x))dx i s (a)pi/2+1 (b...

    Text Solution

    |

  12. IfI(m , n)=int0^(pi/2)sin^m xcos^n xdx , Then show that I(m , n)=(m-1...

    Text Solution

    |

  13. Evaluate: int0^pi(xsin2xsin(pi/2cosx)/(2x-pi)dx

    Text Solution

    |

  14. If IK=int1^e(lnx)^kdx(k in I^+)dx(k in I^+), then find the value of...

    Text Solution

    |

  15. If int0^x {int0^u f(t) dt}du is equal to (a) int0^x (x-u) f(u) (b) ...

    Text Solution

    |

  16. Prove that: In=int0^oox^(2n+1) e^ (-x^2) dx=(n !)/2,n in N.

    Text Solution

    |

  17. The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(...

    Text Solution

    |

  18. It is known that f(x) is an odd function in the interval [-p/2, p/2] ...

    Text Solution

    |

  19. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

    Text Solution

    |

  20. If int0^(pi/2)logsinthetad(theta)=k , then find the value of int0^(pi...

    Text Solution

    |