$\begin{array}{l}
A = \left\{ {{k^2} + 1|k \in Z,\,\,\left| k \right| \le 2} \right\}\\
\left| k \right| \le 2 \Rightarrow - 2 \le k \le 2\\
k \in Z \Rightarrow k \in \left\{ { - 2;\,\, - 1;\,\,0;\,\,1;\,\,2} \right\}.\\
\Rightarrow {k^2} \in \left\{ {0;\,\,1;\,\,2} \right\}\\
\Rightarrow A = \left\{ {1;\,\,2;\,\,5} \right\}\\
\Rightarrow A\,\,co\,\,\,3\,\,phan\,\,tu.
\end{array}$