Track / Stage 4 / 90 of 340 #350 of 1964

Aerith thinks $(1.4)^{(1.4)^{(1.4)}}$ is well-defined, but Bob thinks it diverges. Who is right?

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A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

Because $(1.4)^{2}=1.96<2$, the tetrations of 1.4 can never surpass 2, so the expression does not diverge to infinity; Aerith is right.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.