What is Continuity? (1 of 2: Definitions)

[veergowda]

indian students in 11 and 12 practically getting their math knowledge redefined here✊

[jadon]

cheers got a test tomorrow and you may have saved my life :)

[gsridevi]

I want to be like you in speaking and teaching and your approachings sir.

[studyplusmathematics]

Watching your video 2nd time u r awsome

[PoppySuzumi]

So can I say that if a function / a graph has one or more asymptotes, then this graph must not have a continuity ?

[johannasvensson]

But x=0 is not even in the domain of the function y=1/x, so in fact, y=1/x is a continuous function.. right?

[billyjoethethird]

Why does the continuity test have to include both the positive and the negative limits? Why not just plug in the value and see if it comes up as a real answer? Because if it is solvable, then the limit should be able to approach it from both sides right?