Question

F(x)= (2x+1) when x greater than or equal to 3
= (x^(2) - A) x < 3
Find all values of the number A such that f(x) is continuous at x=3

Answer 1

Set the left limit equal to the right limit like so:
\[\lim_{x \rightarrow 3^-}F(x)=\lim_{x \rightarrow 3^+}F(x)\]
then solve