Final answer:
One to the power of infinity is considered indeterminate because it can take different values depending on the context.
Step-by-step explanation:
The reason why one to the power of infinity is considered indeterminate is because it can take different values depending on the context. In mathematics, we often encounter limits involving such expressions. For example, if we consider the limit of (1 + x) to the power of infinity as x approaches 0, the result will be different depending on whether x is approaching 0 from the left or the right. This ambiguity in the value of the expression makes it indeterminate.