In this redox reaction, zinc (Zn) is oxidized and copper ions (\( \text{Cu}^{2+} \)) are reduced.
Oxidation involves the loss of electrons. Zinc is losing two electrons to form \( \text{Zn}^{2+} \):
\[
\text{Zn} \rightarrow \text{Zn}^{2+} + 2e^-
\]
Thus, the oxidation half-reaction is:
\[
\text{Zn} \rightarrow \text{Zn}^{2+} + 2e^-
\]
Therefore, the correct oxidation half-reaction is option (1).