# Complex Variables : Limits

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

Show the following. (Please explain by using theorem.)

(a) lim T (z) = âˆž if c = 0

zâ†’âˆž

(b) lim T (z) = a / c and lim T (z) = âˆž if c â‰ 0.

zâ†’âˆž zâ†’-d/c

https://brainmass.com/math/complex-analysis/complex-variables-limits-33009

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

Show the following. ...

#### Solution Summary

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