What is e raised to infinity?

[GeraldStea]

I’m trying to understand limits and exponential functions. What happens when the mathematical constant e is raised to infinity? Does it have a finite value or does it grow indefinitely?

 

[danisjohn]

(e) raised to infinity ((e^{\infty})) grows without bound, so its value is infinite.
In calculus, this often appears in exponential growth problems, where (e^x) increases much faster than any polynomial as (x \to \infty).

 

[inzhenerna_jmpr]

When we say e raised to infinity, the expression grows without bound, meaning it approaches infinity. Since e is a number greater than 1, repeatedly multiplying it by itself makes the value increase endlessly. So, e^∞ = ∞ in practical terms.