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Inequalities for small integers


With a nod to try this:

Let there be an infinite sequence of exponentiation t = xx...

I don't know whether that could be expressed with up arrows or not, but Rainman's arrows reminded me of this.

Anyway, there is an infinite sequence of higher and higher order exponents in this expression.

Show that if t = 2 then also t = 4.

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Any t such that 0 ≤ t ≤ e

Yeah... :blush: ... I was trying to revisit an

But I couldn't find it (till just now) and did a bad job of describing the problem.

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