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OpenStudy (anonymous):
OpenStudy (anonymous):
if it's continuous at x = 1 => limit from left = limit from right = f(1).
all 3 must be equal to be continuous
OpenStudy (anonymous):
\[\lim_{x \rightarrow 1^-}f \left( x \right)=\lim_{x \rightarrow 1^-}3-x=2\]what is f(1)? hint, you need to use the function where x = 1 is in the domain (not the first piece).
OpenStudy (anonymous):
you there?
OpenStudy (anonymous):
yes sorry my internet keeps on disconnecting me
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OpenStudy (anonymous):
im plugging in 1 for x?
OpenStudy (anonymous):
i dont get what i have to do next
OpenStudy (anonymous):
@pgpilot326 ?
OpenStudy (anonymous):
yes but in the correct funtion...
OpenStudy (anonymous):
for \(\lim_{x \rightarrow 1^+}f \left( x \right)\) you have to use the \(ax^2+bx\) function
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OpenStudy (anonymous):
and for \(f\left(1\right)\) you have to use that smae function as well.
OpenStudy (anonymous):
then you have to check that\[\lim_{x \rightarrow 1^-}f \left( x \right)=\lim_{x \rightarrow 1^+}f \left( x \right)=f \left( 1 \right)\]