## whitepanda10 Group Title whats the 3 step process for determining continuity? 3 years ago 3 years ago

1. satellite73

at a point or on an entire interval?

2. satellite73

3 step process?

3. whitepanda10

for a function in general at any points

4. CalculusHelp

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.

5. satellite73

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

6. INT

y is defined at x lim x from left (neg) = y lim x from right(pos) = y

7. whitepanda10

ok thanks!