Home
Class 12
MATHS
The value of the expression 1-((n/1).((1...

The value of the expression `1-((n/1).((1+x)/(1+nx))+((n(n-1))/(1.2))((1+2x)/(1+nx)^2)-((n(n-1)(n-2))/(1.2.3))((1+3x)/(1+nx)^3)...`

A

2

B

1

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-1 (CONCEPT BUILDER )|60 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 27|15 Videos

Similar Questions

Explore conceptually related problems

Prove that 1-^(n)C_(1)(1+x)/(1+nx)+^(n)C_(2)(1+2x)/((1+nx)^(2))-^(n)C_(3)(1+3x)/((1+nx)^(3))+

Sum to n terms of the series (1)/((1+x)(1+2x))+(1)/((1+2x)(1+3x))+(1)/((1+3x)(1+4x))+ is (i) (1+x)(1+nx)((1+x)(1+nx))/((1+x)(1+(n-1)x))( iv )((1+x)(1+(n+1)x))/((1+x)(1+(n+1)x))

The value of lim_(x rarr oo)(2x^((1)/(2))+3x^((1)/(3))+4x^((1)/(4))+......+nx^((1)/(n)))/((2x-3)^((1)/(2))+(2x-3)^((1)/(3))+......+(2x-3)^((1)/(n))) is equal to

Show that: (x)+(x+(1)/(n))+(x+(2)/(n))+...+(x+(n-1)/(n))=nx+(n-1)/(2)

Evaluate: lim_(n rarr oo)((a_(1)^((1)/(1))+a_(2)^((1)/(2))+...+a_(n)^((1)/(n)))/(n))^(nx)

The value of lim_(x rarr0)((e^(1))/(x))-(1+nx+(n^(2))/(2)x^(2))/(x^(3))(n>0) is

Find the value of (1+x)^(n)+nc_(1)(1+x)^(n-1)*(1-x)+^(n)C_(2)(1+x)^(n-2)(1-x)^(2)+.........+(1-x)^(n)

If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3) + ...+ n^(x) , "then" f''(1) is equal to

The value of lim_(x rarr oo)(x^(n)+nx^(n-1)+1)/(e^(|x|)),n in1 is

DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-2 (CONCEPT APPLICATOR)
  1. If (1 + ax)^n= 1 +8x+ 24x^2 +..... then the value of a and n is

    Text Solution

    |

  2. The sum of the series (2)/(1!) + (4)/(3!) + (6)/(5!) + ……. "to" oo ...

    Text Solution

    |

  3. If coefficient of a^2b^3c^4in(a+b+c)^m(w h e r em in N)i sL(L!=0) , t...

    Text Solution

    |

  4. The number of dissimilar terms in the expansion of (a+b)^(n) is n+1, ...

    Text Solution

    |

  5. The sum of rational term in (sqrt(2)+3 3+5 6)^(10) is equal to 12632 b...

    Text Solution

    |

  6. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  7. If (+x)^n=sum(r=0)^n ar x^r&br=1+(ar)/(a(r-1))&prod(r=1)^n br=((101)^...

    Text Solution

    |

  8. The coefficients of x^(13) in the expansion of (1 - x)^(5) (1 + x...

    Text Solution

    |

  9. If x is so small that x^3 and higher powers of x may be neglectd, then...

    Text Solution

    |

  10. If (r+1)^(th) term is (3.5...(2r-1))/(r!) (1/5)^(r), then this is th...

    Text Solution

    |

  11. The the term independent in the expansion of [(t^(-1)-1)x+(t^(-1)+1)^(...

    Text Solution

    |

  12. If the third in the expansion of [x + x^(log 10x)]^(6) is 10^(6) ,...

    Text Solution

    |

  13. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

    Text Solution

    |

  14. The middle term in the expansion of (1+(1)/(x^(2)))^n ( 1+x^(2))^(n) i...

    Text Solution

    |

  15. If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...

    Text Solution

    |

  16. The sum sum(i=0)^(m)""^(10)C(i)xx""^(20)C(m-i)("where " ""^(p)C(q)=0" ...

    Text Solution

    |

  17. If m = ( 2013) ! then the value of (1)/(log(2)m) + ( 1)/( log(3)m ) + ...

    Text Solution

    |

  18. sum(r=0)^n nCr (sin rx) is equal to

    Text Solution

    |

  19. Let t(n) denote the n^(th) term in a binomial expansion. If (t(6))/(t...

    Text Solution

    |

  20. The value of the expression 1-((n/1).((1+x)/(1+nx))+((n(n-1))/(1.2))((...

    Text Solution

    |