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Q: Is f(z) = z̄ continuous? Is f(z) = 1/z continuous at 0? z̄: |z̄ - z̄₀| = |z-z₀| → 0: CONTINUOUS everywhere! (Surprising: continuous but NOT analytic!) 1/z at 0: undefined - DISCONTINUOUS (pole!). |1/z| → ∞ as z → 0 (blows up!).