# Find the points of discontinuity: f(x) = x + 1 , for x < 1 and 1/x for x ≥ 1?

1. Oct 12, 2012

Find the points of discontinuity: f(x) = x + 1 , for x < 1 and 1/x for x ≥ 1?

^ supposed to be a piece-wise function.

State whether f is left- or right-continuous at each point of discontinuity.

2. Oct 12, 2012

### Ray Vickson

Show you work so far.

RGV

3. Oct 12, 2012

Well i tried graphing it..........but I STILL DON'T UNDERSTAND

4. Oct 12, 2012

### Ray Vickson

Please explain exactly what you do not understand. We cannot guess about what is bothering you.

RGV

5. Oct 12, 2012

### tiny-tim

as Ray says, we need to see how far you've got, and what is confusing you

6. Oct 12, 2012

### Zondrina

You can start by considering these two limits :

$$lim_{x→1^-} f(x)$$

and

$$lim_{x→1^+} f(x)$$

What happens here?