What is 1 to the power ∞ ?

What is 1 to the power ∞ ?00:53

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WhyNot Science

Published at:

10/1/2025

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339.7K

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Trump explains that while 1 raised to any real power is always 1, infinity isn’t a number but a concept. Eminem then shows through limits that depending on how the base approaches 1, the result could be e, 1, or something else entirely. Using logarithms, it turns into the indeterminate form ∞ × 0 — proving that 1^∞ is undefined.