Question

Let f(x)={ x+1, x<1
x^2-3x+4, 1less or equal to x and less/equal3
5-x, x>3
find all values of x where f(x) is discontinous

Answer 1

\[\Large f(x)=\begin{cases} x+1 & ,x<1\\x^2-3x+4&,1\leq x\leq 3\\5-x &,x>3\end{cases}\]
evaluate \[\Large \lim_{x\rightarrow a} f(x)\] where \(a\) is a breakpoint in the intervals, that is, \(a=1,a=3\)