Home
Class 12
MATHS
Expand : 3sqrt(3) in ascending powers o...

Expand : `3sqrt(3)` in ascending powers of `(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
`1+3((1)/(3)) +(3.5)/(2!) ((1)/(3))^(2) +(3.5.7)/(3!) ((1)/(3))^(3)+……`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.4 (Level-2) |36 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.2 (Level - 1) |19 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

Expand 3sqrt(3) in increasing powers of (2)/(3) .

Prove that : Expand 5sqrt(5) in increasing powers of (4)/(5) .

Expand 3sqrt3 in increasing power of 2/3

Expand 5sqrt5 in increasing power of 4/5

If |x|lt1 , the coefficient of x^(3) in the expansion of log(1+x+x^(2)) in ascending power of x, is

Sum of the last 30 coefficients in the expansion of (1+x)^59 , when expanded in ascending powers of x, is

If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x , then the coefficient of x^(3) is

AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 1.3 (Level - 1)
  1. Find the coefficient of x^(3) in the expansion of ((1+3x^(2))^((3)/(2)...

    Text Solution

    |

  2. If |x| is so small that x^(2) and higher powers of x may be neglected ...

    Text Solution

    |

  3. By neglecting x^(4) and higher powers of x, find an approximate value ...

    Text Solution

    |

  4. Expand : 3sqrt(3) in ascending powers of (1)/(3)

    Text Solution

    |

  5. Prove that : Expand 5sqrt(5) in increasing powers of (4)/(5).

    Text Solution

    |

  6. If b is small compared to 'a' show that (c )/((a-b)^(2)) -(c )/((a+b)...

    Text Solution

    |

  7. If 'c' is small in comparison with l then ((l)/(l+c))^(1//2) + ((l)/(l...

    Text Solution

    |

  8. Find the values of the following correct to five decimals. (1)/(roo...

    Text Solution

    |

  9. Find the values of the following correct to five decimals. sqrt(3....

    Text Solution

    |

  10. Find the values of the following correct to five decimals. sqrt(1.0...

    Text Solution

    |

  11. Find the sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3...

    Text Solution

    |

  12. Find the sum of the infinite series 1-(4)/(5)+(4.7)/(5.10)-(4.7.10)/...

    Text Solution

    |

  13. Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8...

    Text Solution

    |

  14. Find the sum of the infinite series (3)/(4.8)-(3.5)/(4.8.12)+(3.5.7)...

    Text Solution

    |

  15. If x=(3)/(16)(3)+(3.7)/(16.32)(3)^(2)+(3.7.11)/(16.32.48)(3)^(3) +… th...

    Text Solution

    |

  16. If t=(4)/(5)+(4.6)/(5.10)+(4.6.8)/(5.10.15)+………oo then prove that 9t=1...

    Text Solution

    |

  17. If x=(1.3)/(3.6)+(1.3.5)/(3.6.9)+(1.3.5.7)/(3.6.9.12)+.... then prove ...

    Text Solution

    |

  18. If x=(5)/((2!).3)+(5.7)/((3!).3^(2))+(5.7.9)/((4!).3^(3))+…. then fi...

    Text Solution

    |

  19. Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1...

    Text Solution

    |

  20. Show that 1+(x)/(2)+(x(x-1))/(2.4)+(x(x-1)(x-2))/(2.4.6)+.... =1+(...

    Text Solution

    |