| The power of imagination |
Two problems...
1. What is i to the power i? (hint: it's a real number!)
2. Give a good approximation* for i^i^i^... (hint: exponentiation is right-associative. That means a^b^c means a^(b^c), not (a^b)^c.)
*for grading purposes, I will define a "good approximation" of complex number x to be a number, z, such that |x-z|<0.01 |
Problem Moderated by: Graeme |
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