Continuity at a point | Limits and continuity | AP Calculus AB | Khan Academy

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Saying a function f is continuous when x=c is the same as saying that the function's two-side limit at x=c exists and is equal to f(c).

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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Thank you so much! this is exactly what I was looking for

cruelsummer_
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Hi,
Listening to the "pick-up-the-pencil-test" for testing continuity of a function at a point (found at 0:10) got me thinking... If we were to extend the same function into 3D, we would be able to connect the 2 points in the graph using the z-axis. First off, would that be possible? Secondly, would the function be considered continuous in that case?
Please let me know
Thank you!

amanshastry
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Best Academic Channel I've found!! Thank you so much!!

akashdeepb.r.chaudhuri
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This explanation is so clear and helpful ! Thank you .

bhspringer
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Thank you ! Im doing revision for my trial tommorrow Its really helpful or else i will sleep at the middle of revision!

bh
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The thing to wonder is that khan academy being such a big platform has less views on YouTube videos, whereas those indian teachers on youtube who don't teach that good still get about 700k views, so i guess if khan academy makes a proper indian playlist a lot of indian students would be benifited

ishitadesai