# Thread: Limit inequality

1. ## Limit inequality

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

the task: show intervals where each is continuous

what am i supposed to do? thanks

2. Originally Posted by makaveli89
f(x) = x+2/x-1

the task: show intervals where each is continuous

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

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.

3. 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

4. Originally Posted by makaveli89
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}

5. i got it, thank u