Home
Class 11
MATHS
The value of lim(n->oo)sum(r=0)^(n)(s...

The value of `lim_(n->oo)sum_(r=0)^(n)``(sum_(t=0)^(r-1)1/(5^n)*"^n C_r``*``"^r C_t .(3^t))` is equal to

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(n to oo) sum_(r=1)^(n)(r^(2))/(r^(3)+n^(3)) is -

The value of lim_(n to oo)sum_(r=1)^(n)(1)/(n) sqrt(((n+r)/(n-r))) is :

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

sum_(r=1)^(n) {sum_(r1=0)^(r-1) ""^(n)C_(r) ""^(r)C_(r_(1)) 2^(r1)} is equal to

The value of lim_(nto oo)(1)/(2) sum_(r-1)^(n) ((r)/(n+r)) is equal to

The value of sum_(r=0)^(n) sum_(p=0)^(r) ""^(n)C_(r) . ""^(r)C_(p) is equal to

The value of the lim_(n->oo)tan{sum_(r=1)^ntan^(- 1)(1/(2r^2))} is equal to

lim_(nto oo)sum_(r=1)^(n)r/(n^(2)+n+4) equals

If n in N, then sum_(r=0)^(n) (-1)^(n) (""^(n)C_(r))/(""^(r+2)C_(r)) is equal to .

The value of sum_(r=0)^(3n-1)(-1)^r ^(6n)C_(2r+1)3^r is

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Statement 1: The total number of dissimilar terms in the expansion of ...

    Text Solution

    |

  2. Statement 1: In the expansion of (1+x)^(41)(1-x+x^2)^(40), the coeffic...

    Text Solution

    |

  3. Statement 1: The coefficient of x^n in (1+x+(x^2)/(2!)+(x^3)/(3!)++(x^...

    Text Solution

    |

  4. Evaluate 3C2

    Text Solution

    |

  5. Evaluate 5C2

    Text Solution

    |

  6. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

    Text Solution

    |

  7. Find n if nP1=2

    Text Solution

    |

  8. Evaluate 5P2

    Text Solution

    |

  9. The value of ("^n C0)/n+("^nC1)/(n+1)+("^nC2)/(n+2)+....+("^nC n)/(2n)...

    Text Solution

    |

  10. The value of "^20 C0+^(20)C1+^(20)C2+^(20)C3+^(20)C4+^(20)C 12+^(20)C ...

    Text Solution

    |

  11. If (3+x^(2008)+x^(2009))^(2010)=a0+a1x+a2x^2++an x^n , then the value ...

    Text Solution

    |

  12. hat A hat A 404 C4 hatA hat aprime hat A hat A 4C1 hat A hat A hat A 3...

    Text Solution

    |

  13. The sum of series ""^(20)C0-""^(20)C1+""^(20)C2-""^(20)C3+...............

    Text Solution

    |

  14. If (1+x)^n=C0+C1x+C2x^2+...+Cn x^n , then C0C2+C1C3+C2C4+...+C(n-2)Cn=...

    Text Solution

    |

  15. The value of lim(n->oo)sum(r=0)^(n)(sum(t=0)^(r-1)1/(5^n)*"^n Cr*"^...

    Text Solution

    |

  16. Prove that C0-2^2C1+3^2C2-4^2C3++(-1)^n(n+1)^2xxCn=0w h e r eCr=^n Cr ...

    Text Solution

    |

  17. The remainder, if 1+2+2^2+.......+2^(1999) is divided by 5 is.

    Text Solution

    |

  18. Find the largest real value of x such that sum(k=0)^4((3^(4-k))/((4-k)...

    Text Solution

    |

  19. If in the expansion of (a-2b)^n , the sum of 5th and 6th terms is 0, t...

    Text Solution

    |

  20. The number of real negavitve terms in the binomial expansion of (1 ...

    Text Solution

    |