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Complex Variables : Limits

10. Show the following limits. (Please explain by using theorems.)

(a) lim 4z2 / (z - 1)2 = 4
z→∞

(b) lim 1 / (z - 1)3 = ∞
z→1

(c) lim (z2 + 1) / (z - 1) = ∞
z→∞

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Limits are investigated.

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