Question

F(x)= {(x+2)/2 if x less than or equal to 3

{(12-2x)/3 if x is greater than 3

Find lim x--> 3^- F(x)=?
Find lim x--> 3^+ F(x)=?
Find lim x--> 3 F(x)=?

Answer 1

where you see an \(x\) in \[\frac{x+2}{2}\] replace it by 3 for the first one
for the second one replace \(x\) in \[\frac{12-3x}{3}\]by 3
for the third one, if the two numbers above are the same, that is the limit
if they are not, there is no limit