\text { 1. Compute } \lim \frac{2-n+4 n^{2}}{n+2 n^{2}+2 n^{4}} \text { . } \text { 2. Verify that for all } a, b \in \mathbb{R} \text { : }

\max \{a, b\}=\frac{(a+b)+|a-b|}{2} and \min \{a, b\}=\frac{(a+b)-|a-b|}{2} 3. Show that if an → L and b, → M then min(an, bn) → min{L, M} and max(an, bn)→max{L, M }.(Recall that min(an, bn) is the sequence n H min{an, bn} and max(a,, bn) is the sequence n → max{an, bn}.)