With absolute value functions, it’s always important to keep in mind what domains apply to your function. With this equation we’re presented with the pesky problem of dividing by zero, and the consequences of having holes in the graph. Don’t worry; because with limits, everything starts making sense. But beware, sometimes a function’s limit doesn’t exist…
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It was pretty basic and straightforward, so I guess that is good. I liked the reminder of finding a hole in the graph since the function was a quotient. It is a nice refresher for finding points of where a function is undefined and also tying in that information from algebra into how it affects calculus and the limits. The limit approaching from right or left was also nicely explained and it was easy to determine that the value DNE by defining that if the limit from the right and the left are not equal, there is no limit at that point.
I looked at this to see if it would help me with my homework for Strang 2.6. But it didn't really do much good. It just went over what I already knew. I suppose it did help me with number 14 but that was it.
Megan Parr
This was an easy example to follow and understand. It is a good video to watch to get a basic understanding of how to find a hole in the graph and to determine the limit if it exists. It is also a good example when determining the limit if approaching the value from the left or right. This is good for a basic understanding, but I think it would be useful if a more complicated example was demonstrated. I already knew most of what this example explained, but to figure out how to do the homework from Strang I would need more information.
This was a good pencast to watch because it cleared up confusion with regards to absolute values. Having an easy example made it clear to understand and apply the concept to harder questions i.e. hw problems.