Here's the question you clicked on:
whitepanda10
whats the 3 step process for determining continuity?
at a point or on an entire interval?
for a function in general at any points
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.
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
y is defined at x lim x from left (neg) = y lim x from right(pos) = y