Is $y$ to the power of $\frac{1}{\infty}$ equals 1?

Question

Is

$$y^{\frac{1}{\infty}} = 1 \quad ? $$

If that's correct. $\log_1 (1)$ will be solved.

Answer 1

For $y\in(0,\infty)$, $\lim_{x\to\infty} y^{1/x}=1$. For $y=0$, $\lim_{x\to\infty}y^{1/x}=0$.