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satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0at a point or on an entire interval?

whitepanda10
 3 years ago
Best ResponseYou've already chosen the best response.0for a function in general at any points

CalculusHelp
 3 years ago
Best ResponseYou've already chosen the best response.0A function f( x) is said to be continuous at a point ( c, f( c)) if each of the following conditions is satisfied: (1) if f(c) exists (c is in the domain of f), (2) lim f(x) exists, and (3) lim f(x) = f(c). this may help you.

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0i don't know about the steps but f is continuous at a number c if \[\lim_{x\rightarrow c}f(x)=f(c)\] implicit in this definition is of course that the limit from the left and the limit from the right are the same, that the function exists there. but those "steps" are contained within the definition

INT
 3 years ago
Best ResponseYou've already chosen the best response.1y is defined at x lim x from left (neg) = y lim x from right(pos) = y
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