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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

    © BrainMass Inc. brainmass.com February 24, 2021, 2:37 pm ad1c9bdddf
    https://brainmass.com/math/complex-analysis/complex-variables-limits-33009

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

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