Provide an Appropriate Response $\varepsilon > 0$ , Find an Interval $I = ( 5 - \delta , 5 ) , \delta > 0$

Multiple Choice

Provide an appropriate response.
-Given $\varepsilon > 0$ , find an interval $I = ( 5 - \delta , 5 ) , \delta > 0$ , such that if $x$ lies in $I$ , then $\sqrt { 5 - x } < \varepsilon$ . What limit is being verified and what is its value?

A) $\lim _ { x \rightarrow 5 ^ { - } } \sqrt { x } = 5$
B) $\lim _ { x - 5 ^ { + } } \sqrt { 5 - x } = 0$
C) $\lim _ { x \rightarrow 0 ^ { - } } \sqrt { 5 - x } = 0$
D) $\lim _ { x \rightarrow 5 ^ { - } } \sqrt { 5 - x } = 0$