Showing that an implicit function is continuous

Asked Apr 01 '21 at 08:02

Active Apr 01 '21 at 08:02

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I want to show that the following implicit function is continuous: $$2x = \ln(|x+iy-1|)-\ln(|x+iy+1|)$$ I plottet the function with mathematica and it seems to be continuous, but i would like to show it in an analytic way.

Is there a good way to show continuity of implicit functions?

asked Apr 01 '21 at 08:02

putti.123

Probably a silly question, but i is the square root of -1, correct? – Ishraaq Parvez Apr 01 '21 at 08:16
yes, thats correct – putti.123 Apr 01 '21 at 08:41

Showing that an implicit function is continuous

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