Verify that the linear fractional transformation(adsbygoogle = window.adsbygoogle || []).push({});

T(z) = (z2 - z1) / (z - z1)

maps z1 to infinity, z2 to 1 and infinity to zero.

^^^ so for problems like these, do I just plug in z1, z2 and infinity in the eqn given for T(z) and see what value they give?

in this case, do i assume 1/ 0 is infinity then?

I just want to make sure I am taking the right approach

(also ... for complex analysis in general, it is safe to assume 1/0 is infinity?)

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# Complex analysis - LFT

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