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
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?]
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?