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satellite73Best ResponseYou've already chosen the best response.0
at a point or on an entire interval?
 2 years ago

whitepanda10Best ResponseYou've already chosen the best response.0
for a function in general at any points
 2 years ago

CalculusHelpBest ResponseYou've already chosen the best response.0
A 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.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.0
i 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
 2 years ago

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