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Mathematics 8 Online
OpenStudy (anonymous):

In order to be continuous, the limit must be equal to the...

OpenStudy (anonymous):

is there more to this?

OpenStudy (anonymous):

value of the function

OpenStudy (anonymous):

hey is anyone there

jimthompson5910 (jim_thompson5910):

If the function f(x) is continuous, then the limit lim f(x) = f(c) x->c is defined for all values of x in the domain

jimthompson5910 (jim_thompson5910):

basically, the limiting value must be equal to the function value

OpenStudy (anonymous):

so what would i write down as the answer lol

jimthompson5910 (jim_thompson5910):

as x approaches c, the function will be continuous if f(x) approaches f(c)

jimthompson5910 (jim_thompson5910):

and if f(c) exists

OpenStudy (kainui):

Like satellite said. To be continuous, the limit of the function and the function must be equal.

jimthompson5910 (jim_thompson5910):

does that make sense

OpenStudy (anonymous):

i dont understand :( can u draw a picture

jimthompson5910 (jim_thompson5910):

sure, I'll give it a shot

jimthompson5910 (jim_thompson5910):

say you have the function as shown below (we don't care what function it is, it's just drawn and given) |dw:1345526020654:dw|

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