What are some examples in which the limit does not exist?

1 Answer
Gió
Feb 26, 2015

One example is when the right and left limits are different. So in that particular point the limit doesn't exist.
For example: if you compress a gas the volume abruptly changes (in changing phase):
enter image source here
You can have a limit for pp approaching 100100 torr from the left (=0.8 l=0.8l) or right (0.3 l0.3l) but not in p=100p=100 torr.
So: lim_(p->100)V= doesn't exist.

Here, to recapitulate, some interesting cases:
enter image source here

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