Can we calculate i\sqrt { i\sqrt { i\sqrt { \cdots } } } i\sqrt { i\sqrt { i\sqrt { \cdots } } }?

It might be obvious that $2\sqrt { 2\sqrt { 2\sqrt { 2\sqrt { 2\sqrt { 2\sqrt { \cdots } } } } } }$ equals $4.$ So what about $i\sqrt { i\sqrt { i\sqrt { i\sqrt { i\sqrt { i\sqrt { \cdots } } } } } } \text{ ?}$ The answer might be $-1$, but I’m not sure as $i$ is not a real number. Can anyone help?