Visit this desmos link and interact with the graph in order to determine a  $\displaystyle \delta$  so that if $\displaystyle {\left|{x}-{a}\right|}\lt\delta$ , then $\displaystyle {\left|{f{{\left({x}\right)}}}-{L}\right|}\lt\epsilon$ .  Please make sure your response is accurate to within three decimal places.

Let f(x) = 3x-1, and let $\displaystyle {x}\rightarrow$ 2, and suppose that $\displaystyle \epsilon$ =.05.

Determine $\displaystyle \delta$  so that if $\displaystyle {\left|{x}-{a}\right|}\lt\delta$  , then $\displaystyle {\left|{f{{\left({x}\right)}}}-{L}\right|}\lt\epsilon$ .