In the video lecture 02 between 24'~26' the function at fist didn't include x=0; then can we still take the limit of x to 0+ and 0-? Doesn't that imply that it isn't defined at x=0? or does 0+ and 0- are slightly beside 0 and not 0 yet? And if so can we use this method to differentiate discontinuous functions at some point (x0,y0)? The definition following that in the video lecture seems to suggest otherwise and then doesn't that mean that the example is false? (just had to keep watching the video and it's an example of Jump discontinuity haha)

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In the video lecture 02 between 24'~26' the function at fist didn't include x=0; then can we still take the limit of x to 0+ and 0-? Doesn't that imply that it isn't defined at x=0? or does 0+ and 0- are slightly beside 0 and not 0 yet? And if so can we use this method to differentiate discontinuous functions at some point (x0,y0)? The definition following that in the video lecture seems to suggest otherwise and then doesn't that mean that the example is false? (just had to keep watching the video and it's an example of Jump discontinuity haha)

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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