Home
Class 12
MATHS
Prove that : If |x| is so small that x^(...

Prove that : If `|x|` is so small that `x^(2)` and higher powers of x may be neglected, then find an approximate value of `(sqrt(1+x)(1+4x)^(1/3))/((1+x^2)((1-3x)^2)^(1/3))`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE VSAQ|3 Videos
  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE SAQ|4 Videos
  • ANDHRA PRADESH MARCH 2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise QUESTION|21 Videos
  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos

Similar Questions

Explore conceptually related problems

Prove that : If |x| is so small that x^(4) and higher powers of x may be neglected, then find the approximate value of root(4)(x^(2).+81)-root(4)(x^(2)+16).

If |x| is so small that x^(2) and higher powers of x may be neglected then find the approx-imate values of the following sqrt(4-x)(3-(x)/(2))^(-1)

If |x| is so small that x^4 and higher powers of x many be neglected , then find an approximate value of root(4)(x^2 + 81) - root(4)(x^2 + 16)

If |x| is so small that x^2 and higher powers of x may be neglected, then an approximately value of ((1+(2)/(3)x)^(-3) (1-15x)^(-1//5))/((2-3x)^4) is

Prove that : If |x| is so small that x^(3) and higher powers or x can be neglected, find approximate value of ((4-7x)^(1//2))/((3+5x)^(3)) .

If |x| is so small that x^(2) and higher powers of x may be neglected then find the approx-imate values of the following (sqrt(4+x)+root(3)(8+x))/((1+2x)+(1-2x)^(-1//3))

If x is so small that x^(2) and higher powers of x can be neglected, then the approximate value of (1 + (3)/(4)x )^((1)/(2)) (1 - (2x)/(3))^(-2) is

If |x| is so small that x^(2) and higher powers of x may be neglected then find the approx-imate values of the following ((8+3x)^(2//3))/((2+3x)sqrt(4-5x))

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-BINOMIAL THEOREM-TETUAL EXERCISES (EXERCISE - 6(c)) I.
  1. Prove that : If |x| is so small that x^(2) and higher powers of x may ...

    Text Solution

    |

  2. Find an approximate value of the following corrected to 4 decimal pla...

    Text Solution

    |

  3. Find an approximate value of the following corrected to 4 decimal pla...

    Text Solution

    |

  4. Find an approximate value of the following corrected to 4 decimal pla...

    Text Solution

    |

  5. Find an approximate value of the following corrected to 4 decimal pla...

    Text Solution

    |

  6. Find an approximate value of the following corrected to 4 decimal pla...

    Text Solution

    |

  7. Find an approximate value of the following corrected to 4 decimal pla...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Suppose s and t are positive and t is very small when compared to s. T...

    Text Solution

    |

  14. Suppose p, q are positive and p is very small when compared to q. The...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |