Sunday Afternoon Maths IV
Posted on 2014-03-16
x to the power of x
If \(x^{x^{x^{x^{...}}}}\) [\(x\) to the power of (\(x\) to the power of (\(x\) to the power of (\(x\) to the power of ...))) with an infinite number of \(x\)s] is equal to 2, what is the value of \(x\)?
arccos + arcsin
What is the value of \(\arccos(x) + \arcsin(x)\)?
![](javascript:showlimage("arccos-triangle.png"))
If you enjoyed these puzzles, check out Advent calendar 2023,
puzzles about combinatorics, or a random puzzle.
puzzles about combinatorics, or a random puzzle.