Solution
= Solution
The given distinct zeros converge to $i$, which lies inside the connected <upper half-plane>. The <identity theorem for holomorphic functions> forces the function to vanish identically. Thus $\boxed{\text{no}}$.
= Solution
The given distinct zeros converge to $i$, which lies inside the connected <upper half-plane>. The <identity theorem for holomorphic functions> forces the function to vanish identically. Thus $\boxed{\text{no}}$.