Let $\displaystyle {f{{\left({x}\right)}}}={\left\lbrace\begin{array}{ccc} {c}{x}+{1}&\text{if}&{x}<{5}\\{d}&\text{if}&{x}={5}\\{31}-{2}{x}&\text{if}&{x}>{5}\end{array}\right.}$

Find values of $\displaystyle {c},{d}$ that make $\displaystyle {f{{\left({x}\right)}}}$ continuous at $\displaystyle {x}={5}$.

$\displaystyle {c}=$ $\displaystyle {\quad\text{and}\quad}$d =

$\displaystyle \lim_{{{x}\to{5}}}{f{{\left({x}\right)}}}=$