$\underset{x}{lim}\frac{5x^2+x-2}{1-4x+3x^2}$

$\underset{x}{lim}>\sqrt[\phantom{2}]{\frac{16x^2}{3+9x^2}}$

Continuity Based on a Graph

Continuity

Identify any points where $f(x)$ is not continuous and explain why using precise mathematical statements in relation to how the definition of continuity is not satisfied.

Definition. $"f(x)$ is continuous at $x=a"$ means.

$\underset{xa}{lim}f(x)=f(a)$

Find the statement in the Def of Continuity and state why each point fails $($there are only $2)$

Def of Continuity is on the back. Do not use statements such as jump or corner.