Continuity as was described in class feels contradictory. I talked to a few people from class and they all said they felt that it was odd as well. A function can only be non continuous within it's own domain. Therefore even if there is an obvious discontinuity, as a function it is still continuous. So even if there is an infinite discontinuity, it can still be considered a continuous function. What's the point of having discontinuities if it's only within the domain? Is there a specific reason we call a 1/x function continuous? It has a discontinuity, why not just call it a discontinuous function? There are many types of discontinuity.
The other major thing we did this week was salt and pepper graphs. How is this any different than a standard piece wise function? The equation was only continuous where the rational and irrational graphs intersect, these are the only place where the limit is the value of the equation.
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