Home
Class 11
MATHS
1/(n!)+1/(2!(n-2)!)+1/(4!(n-4)!)+ …… is ...

`1/(n!)+1/(2!(n-2)!)+1/(4!(n-4)!)+ ……` is equal to

A

`2^(n-1)/(n!)`

B

`2^n/((n+1)!)`

C

`2^n/(n!)`

D

`2^(n-2)/((n-1)!)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

(n+2)C_0(2^(n+1))-(n+1)C_1(2^(n))+(n)C_2(2^(n-1))-.... is equal to

underset(n to oo)lim(((n+1)(n+2)...3n)/(n^(2n)))^((1)/(n)) is equal to

lim_(n->oo)(n(2n+1)^2)/((n+2)(n^2+3n-1)) is equal to (a)0 (b) 2 (c) 4 (d) oo

lim_(nrarroo) [(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+...+(1)/(8n)] is equal to

lim_(n->oo)(-3n+(-1)^n)/(4n-(-1)^n) is equal to a. -3/4 b. 0 if n is even c. -3/4 if n is odd d. none of these

underset(nrarroo)"lim"(-3n+(-1)^(n))/(4n-(-1)^(n)) is equal to

The sum of the series 1+(1)/(2)""^(n)C_(1)+(1)/(3)""^(n)C_(2)+…+(1)/(n+1)""^(n)C_(n) is equal to-

underset(nrarrinfty)lim((n+1)(n+2)....3n)/(n^(2n)))^(1/n) is equal to

lim_(nrarroo) {(1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+...+(1)/(sqrt(n^(2)-(n-1)^(2)))} is equal to-

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The greatest term (numerically) in the expansion of (2+3x)^9 when x=3/...

    Text Solution

    |

  2. If agt0 and coefficients of x^5 and x^(15) in the expansion of (x^2+a/...

    Text Solution

    |

  3. 1/(n!)+1/(2!(n-2)!)+1/(4!(n-4)!)+ …… is equal to

    Text Solution

    |

  4. The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is

    Text Solution

    |

  5. The sum of the coefficients of all the integral powers of x in the exp...

    Text Solution

    |

  6. The coefficient of x^m in (1+x)^r+ (1+x)^(r+1)+(1+x)^(r+2)+………+(1+x)^n...

    Text Solution

    |

  7. The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is

    Text Solution

    |

  8. If log(1-x+x^2)=a1x+a2x^2+a3x^3+……… then a3+a6+a9+……… is equal to

    Text Solution

    |

  9. The greatest term in the expansion of (1+x)^(10) when x=2/3 is

    Text Solution

    |

  10. The number of integral terms in the expansion of (3^(1/2)+2^(1/2))^(50...

    Text Solution

    |

  11. The least (positive) remainder when 17^(30) is divided by 5 is

    Text Solution

    |

  12. The coefficient of x^(17) in the expansion of (x-1)(x-2)……..(x-18) is

    Text Solution

    |

  13. The number of terms in the expansion of (a+b+c)^n where ninN is

    Text Solution

    |

  14. The sum of the rational terms in the expansion of (sqrt2+3^(1/5))^(10)...

    Text Solution

    |

  15. The greatest coefficient iin the expansion of (x+y+z+t)^(15) is

    Text Solution

    |

  16. If (1+x)^n=sum(r=0)^n .^nCr x^r then sum(r=m)^n .^rCm is equal to

    Text Solution

    |

  17. Let n be a positive integer such that (1+x+x^2)^n=a0+a1x+a2x^2+…….+a(2...

    Text Solution

    |

  18. Give the integers rgt1 , ngt2 and c0-efficients of (3r)^th and (r+2)^(...

    Text Solution

    |

  19. If n in I^+ the value of sum(k=1)^n k^3 (^nCk)/(^nC(k-1))^2

    Text Solution

    |

  20. In a triangle ABC the value of sum(r=0)^(50) ^(50)Cr a^rb^(50-r) cos(R...

    Text Solution

    |