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OpenStudy (anonymous):
In order to be continuous, the limit must be equal to the...
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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
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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
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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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