The series given by \(x + \frac{{{2^2}{x^2}}}{{2!}} + \frac{{{3^3}{x^3}}}{{3!}} + \frac{{{4^4}{x^4}}}{{4!}} + \ldots\) Diverges if

1
\(x < \frac{1}{e}\)
2
\(x > \frac{1}{e}\)
3
\(x \le \frac{1}{e}\)
4
\(x \ge \frac{1}{e}\)

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