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Mathematics 27 Online
OpenStudy (anonymous):

If c is in the domain of f(x) , how do you find lim (x->c) f(x)?

OpenStudy (anonymous):

yoiu can just plug in c

myininaya (myininaya):

where D is the domain of f

OpenStudy (anonymous):

even for piecewise functions?

OpenStudy (anonymous):

oh that cannot be right

myininaya (myininaya):

if the function is continuous

OpenStudy (anonymous):

myininaya!

myininaya (myininaya):

i'm assuming that the function was continuous

myininaya (myininaya):

if the function is not continuous then the limit may not exist

OpenStudy (anonymous):

you want me to demonstrate my prowess at peicewise functions again?

OpenStudy (anonymous):

\[f(x) = \left\{\begin{array}{rcc} 3x + 10 & \text{if} & x \leq -2 \\ \frac{\pi}{6}& \text{if} & -2<x < 2\\ -3x+10& \text{if} & x\geq 2 \end{array} \right.\]

OpenStudy (anonymous):

lol

myininaya (myininaya):

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