Visit this desmos link and interact with the graph in order to determine a  δ\displaystyle \delta  so that if xa<δ\displaystyle {\left|{x}-{a}\right|}\lt\delta , then f(x)L<ϵ\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) = x2\displaystyle {x}^{{2}}, and let x\displaystyle {x}\rightarrow 1, and suppose that ϵ\displaystyle \epsilon =.01.

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