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Complex Variables : Limits

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11. T (z) = (az + b) / (cz + d) (ad - bc ≠ 0)
Show the following. (Please explain by using theorem.)

(a) lim T (z) = ∞ if c = 0
z→∞

(b) lim T (z) = a / c and lim T (z) = ∞ if c ≠ 0.
z→∞ z→-d/c

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11. T (z) = (az + b) / (cz + d) (ad - bc ≠ 0)
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