Regarding

Is f continuous on [0,1] or [1,2]?

and is f 'right continuous' on [0,1]?

and why?

[I dont really know what it means for a function to be 'right continuous'...

any help on this?]

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- Oct 22nd 2009, 10:24 PMbinkypoocontinuity question
Regarding

Is f continuous on [0,1] or [1,2]?

and is f 'right continuous' on [0,1]?

and why?

[I dont really know what it means for a function to be 'right continuous'...

any help on this?] - Oct 23rd 2009, 01:18 AMslevvio
I think youve made a mistake in that, I think it should say for x < 0.

If a function is right continuous then the limit of f(x) as you approach a from the right is f(a).

i.e.

such that

There's some pictures of these functions on wikipedia - Oct 23rd 2009, 04:54 AMHallsofIvy
Note that for a function to be "continuous" at a point, it must be both "right continuous" and "left continuous".

What was your answer to the question "Is f continuous on [0,1] or [1,2]?" - Oct 23rd 2009, 11:36 AMbinkypoo
I believe f is not continuous on [0,1] because the right side limit and left side limit at 0 are not equal.

on [1,2] it seems to me that it is continuous but Im not sure how to prove either of these claims - Oct 23rd 2009, 06:00 PMHallsofIvy
- Oct 25th 2009, 07:58 PMbinkypoo
Sorry but I just realized I wrote the function wrong, here is the correct form:

Im stumped on proving continuity on the interval [1,2]. I can prove continuity at a point but dont know how to do it on a whole interval

Heres what I have so far:

I want to show if , then such that provided that and

Actually Im not sure if x must exist in [1,2], any comment? - Oct 25th 2009, 10:56 PMbinkypoo
So I let to show f is continuous on [1,2] But I feel like delta should somehow involve the interval [1,2]... not sure where to go. any suggestions?