Let $\displaystyle {f{{\left({x}\right)}}}={\left\lbrace\begin{array}{ccc} {5}{x}-{1}&\text{if}&{x}<{2}\\{\frac{{{2}}}{{{x}+{6}}}}&\text{if}&{x}\geq{2}\end{array}\right.}$
Show that $\displaystyle {f{{\left({x}\right)}}}$ has a jump discontinuity at $\displaystyle {x}={2}$ by calculating the limits from the left and right at $\displaystyle {x}={2}$.

$\displaystyle \lim_{{{x}\to{2}^{{-}}}}{f{{\left({x}\right)}}}=$Preview Question 6 Part 1 of 2  

$\displaystyle \lim_{{{x}\to{2}^{+}}}{f{{\left({x}\right)}}}=$Preview Question 6 Part 2 of 2