Why is 1^infinity indeterminate form and not just 1? Isn’t one to any power going to be 1?

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Why is 1^infinity indeterminate form and not just 1? Isn’t one to any power going to be 1?

In: Mathematics

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Anonymous 0 Comments

1 raised to the power of any *number* is 1. But in the real number system, infinity is not a number, and cannot be used in any arithmetic operations. It can be used as part of the notation for a limit, but you can’t perform calculations on it as if it were a number.

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