Project ForgeEngineering Mathematics
Complex Variables
GATE 2010
Medium
Given that i=√−1, i^i is equal to
- Aπ/2
- B−1
- Ci·ln(i)
- e^(−π/2)
Explanation
i=e^(iπ/2) (principal value). i^i=e^(i·ln i)=e^(i·(iπ/2))=e^(−π/2).
Source: GATE CH 2010 (2010)
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