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

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.

Ray Vickson
Homework Helper
Dearly Missed
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.

Show you work so far.

RGV

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

Ray Vickson
Homework Helper
Dearly Missed
Well i tried graphing it..........but I STILL DON'T UNDERSTAND

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

RGV

tiny-tim
Homework Helper
Well i tried graphing it..........but I STILL DON'T UNDERSTAND

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

STEMucator
Homework Helper
You can start by considering these two limits :

$$lim_{x→1^-} f(x)$$

and

$$lim_{x→1^+} f(x)$$

What happens here?