1977 AHSME Problems/Problem 8
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Solution
Solution by e_power_pi_times_i
or
depending whether
is positive or negative. If
,
, and
are positive, then the entire thing amounts to
. If one of the three is negative and the other two positive, the answer is
. If two of the three is negative and one is positive, the answer is
. If all three are negative, the answer is
. Therefore the set is
.