Results 1 to 2 of 2

Math Help - conv. and div. by comparison

  1. #1
    Junior Member
    Joined
    Jan 2009
    Posts
    46

    Question conv. and div. by comparison

    just a question:

    while using comparisons to decide whether the integral converges or diverges

    we know that 1/x div
    1/x^2 conv
    what about 1/x^3 and 1/x^4???????
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by alex83 View Post
    just a question:

    while using comparisons to decide whether the integral converges or diverges

    we know that 1/x div
    1/x^2 conv
    what about 1/x^3 and 1/x^4???????
    ask yourself this question for x>1

    how are the two functions related.

    \frac{1}{x^2} and \frac{1}{x^3}=\frac{1}{x^2}\frac{1}{x}

    Which do you think is smaller
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Another Series: Looking at conv vs. div
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: May 6th 2010, 04:36 AM
  2. Comparison or Limit Comparison Test Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 12th 2010, 07:46 AM
  3. Limit comparison/comparison test series
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 25th 2009, 08:27 PM
  4. Comparison & Limit Comparison test for series
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 25th 2009, 04:00 PM
  5. Help with Conv/Div Series
    Posted in the Calculus Forum
    Replies: 11
    Last Post: July 25th 2008, 05:46 PM

Search Tags


/mathhelpforum @mathhelpforum