Convergence

Calculus Level pending

Initially, my calculator displays the number \(1\). I have a button on the calculator that will replace the number it is displaying with \(n^x\), where \(x\) is the number previously displayed, and \(n\) is a fixed number greater than \(1\). What is the maximum value of \(n\) such that, no matter how many times I press the button, the calculator will not produce an Overflow Error?

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