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Math Help - Limit inequality

  1. #1
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    Limit inequality

    f(x) = x+2/x-1

    the task: show intervals where each is continuous

    what am i supposed to do? thanks
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  2. #2
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    Quote Originally Posted by makaveli89 View Post
    f(x) = x+2/x-1

    the task: show intervals where each is continuous

    what am i supposed to do? thanks
    Is it f(x) = \frac{x+2}{x-1} or f(x) = x + \frac{2}{x} - 1 ? Or even f(x) = x + \frac{2}{x-1} ?

    Either way, find the value of x where f(x) is undefined. It's continuous for all values of x EXCEPT the value of x where it's undefined.
    Last edited by mr fantastic; April 11th 2009 at 03:38 PM. Reason: Added the "Or even ...."
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  3. #3
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    thank you for your response. however, it was confusing.
    what does "find value of x where f(x) is undefined" where is it undefined? when it equals 0?? and then how do i show "show intervals" ??

    if somebody shows me how to write everything down properly (the intervals etc. in an example or for this task, then i wont have any problems solving further problems)

    but thank you so much so far
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  4. #4
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    Quote Originally Posted by makaveli89 View Post
    thank you for your response. however, it was confusing.
    what does "find value of x where f(x) is undefined" where is it undefined? when it equals 0?? and then how do i show "show intervals" ??

    if somebody shows me how to write everything down properly (the intervals etc. in an example or for this task, then i wont have any problems solving further problems)

    but thank you so much so far
    Perhaps if you answered my question and made it crystal clear what the rule for f(x) is, then progress could be made.

    Note that if the function is undefined for x = 0, say, then the intervals of continuity can be written in several ways, including:

    1. (-oo, 0) U (0, +oo)

    2. R\{0}

    3. {x: -oo < x < 0} U {x: 0 < x < +oo}
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  5. #5
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    i got it, thank u
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