Results 1 to 3 of 3

Math Help - Limit of Quotients help

  1. #1
    Newbie
    Joined
    May 2011
    Posts
    1

    Limit of Quotients help

    I've just started my semester of Calculus and I find limits relatively easy except for these type of questions. Any help would be appreactied, I just need to see it worked out and then I would understand it.

    Lim 1/x-1 + 1/x+1 DIVIDED BY x
    x-0

    I got to:

    lim 1/x-1 + 1/x+1
    x-0
    DIVIDED BY
    lim x
    x-0


    but I dont know what to do after.


    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    If the requested limit is...

    \displaystyle \lim_{x \rightarrow 0} \frac{\frac{1}{x-1}+\frac{1}{x+1}}{x} (1)

    ... then the most confortable way is to use the elementary algebra...

    \displaystyle \frac{\frac{1}{x-1}+\frac{1}{x+1}}{x}= \frac{\frac{x+1+x-1}{x^{2}-1}}{x}= \frac{\frac{2x}{x^{2}-1}}{x}= \frac{2}{x^{2}-1} (2)

    May be that the requested limit is different from (1)... in any case the Latex is very useful to avoid misundestanding ...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member BAdhi's Avatar
    Joined
    Oct 2010
    From
    Gampaha, Sri Lanka
    Posts
    252
    Thanks
    6
    I guess this what your question is,

    [tex]\lim_{x\rightarrow 0}\frac{\frac{1}{x-1}+\frac{1}{x+1}}{x} [\tex]

    if so, simplify and get the following, and rest will be much easy

    lim_{x\rightarrow 0} \frac{2}{x^2-1}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. field of quotients
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 9th 2010, 08:17 AM
  2. Quotients
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 24th 2009, 02:00 PM
  3. Please help... quotients....
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 7th 2009, 06:49 PM
  4. Difference Quotients
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 20th 2007, 04:56 PM
  5. quotients
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: August 24th 2005, 01:14 AM

Search Tags


/mathhelpforum @mathhelpforum