Asked by Sarah
When one-sided limits are not equal to each other at a point, what can be said about the continuity of the function at that point?
I know that when one-sided are not equal to each other then the limit does not exist at that point. but i do not know what can be said about the continuity of the function at that point
I know that when one-sided are not equal to each other then the limit does not exist at that point. but i do not know what can be said about the continuity of the function at that point
Answers
Answered by
Steve
the discontinuity is non-removable.
There's no way to define f(x) there so that the two limits are the same and equal f(x).
There's no way to define f(x) there so that the two limits are the same and equal f(x).
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