Home
Class 11
MATHS
If n is a positive integer, find the coe...

If `n` is a positive integer, find the coefficient of `x^(-1)` in the expansion of `(1+x)^n(1+1/x)^ndot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA ENGLISH|Exercise All Questions|77 Videos

Similar Questions

Explore conceptually related problems

Coefficient of x^(n) in the expansion of ((1+x)^(n))/(1-x)

Find the coefficient of \ x^m in the expansion of (x+1/x)^ndot

Find the coefficient of x^n in the expansion of (1+x)(1+x)^ndot

The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

The coefficient of x^n in the expansion of (1+x)(1-x)^n is

The coefficient of x^(n) in the expansion of log_(a)(1+x) is

Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot

The coefficient of x^(n) in the expansion of ((1 + x)/(1-x))^(2), is

If 'n' is a positive integer then prove that the coefficient fo x^(m) in the expansion of (x^(2)+(1)/(x))^(2n) is :

If 'n' is a positive integer then prove that the coefficient fo x^(m) in the expansion of (x^(2)+(1)/(x))^(2n) is :

RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Write last two digits of the number 3^(400)dot

    Text Solution

    |

  2. Find the total number of terms in the expansion of (x^(3/2)+x^(1/2))^(...

    Text Solution

    |

  3. If n is a positive integer, find the coefficient of x^(-1) in the expa...

    Text Solution

    |

  4. Find the sixth term in the expansion (y^(1/2)+x^(1/3))^n , if the bino...

    Text Solution

    |

  5. Which term in the expansion of {(x/sqrty)^ (1/3)+(y/(x)^(1/3))^(1/2)}...

    Text Solution

    |

  6. Find the number of terms in the expansions of the following: (2x-3y)^9

    Text Solution

    |

  7. Find the number of terms in the expansions of the following: (1+5sqrt(...

    Text Solution

    |

  8. Find the number of terms in the expansions of the following: (sqrt(x)+...

    Text Solution

    |

  9. Find the number of terms in the expansions of the following: [(3x+y)^8...

    Text Solution

    |

  10. Find the number of terms in the expansions of the following: \ (2x+3y-...

    Text Solution

    |

  11. Find the number of terms in the expansions of the following:\ (1+2x+x^...

    Text Solution

    |

  12. Expand (2x-3y)^4 by binomial theorem.

    Text Solution

    |

  13. Using binomial theorem expand (1+x/2-2/x)^4,\ x!=0.

    Text Solution

    |

  14. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

    Text Solution

    |

  15. Using binomial theorem, expand (x+1/y)^(11)dot

    Text Solution

    |

  16. Find an approximation of (0. 99)^5 using the first three terms of its ...

    Text Solution

    |

  17. Using binomial theorem compute : (99)^5

    Text Solution

    |

  18. Using binomial theorem compute : (102)^6

    Text Solution

    |

  19. Using binomial theorem compute : (10. 1)^5

    Text Solution

    |

  20. Write down the binomial expansion of (1+x)^(n+1) , when x=8. Deduce th...

    Text Solution

    |