Question Number 194334 by cortano12 last updated on 04/Jul/23
$$\:\:\:\:\underbrace{ ^{} } \\ $$
Commented by Frix last updated on 04/Jul/23
$$\mathrm{The}\:\mathrm{real}\:\mathrm{part}\:\rightarrow\:\mathrm{0}\:\mathrm{but}\:\mathrm{the}\:\mathrm{imaginary}\:\mathrm{part} \\ $$$$\mathrm{is}\:<\mathrm{0}\:\mathrm{for}\:{x}<\mathrm{0}\:\mathrm{and}\:>\mathrm{0}\:\mathrm{for}\:{x}>\mathrm{0}\:\Rightarrow\:\mathrm{limit}\:\mathrm{does} \\ $$$$\mathrm{not}\:\mathrm{exist} \\ $$
Commented by Tinku Tara last updated on 05/Jul/23
$$\mathrm{The}\:\mathrm{question}\:\mathrm{only}\:\mathrm{asks}\:\mathrm{for}\:\mathrm{one}\:\mathrm{sided} \\ $$$$\mathrm{limit}\:{x}\rightarrow\mathrm{0}^{+} \\ $$