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Mathematics 15 Online
OpenStudy (anonymous):

can someone help me with a calc problem?

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

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

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\[\lim_{x \rightarrow 1^-}f \left( x \right)=\lim_{x \rightarrow 1^+}f \left( x \right)=f \left( 1 \right)\]

OpenStudy (anonymous):

you there? did this help?

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