Question Number 76696 by benjo 1/2 santuyy last updated on 29/Dec/19
$${what}\:{is}\:{the}\:{value}\:{ln}\left(\mathrm{0}\right).? \\ $$
Answered by john santu last updated on 29/Dec/19
$${ln}\left(\mathrm{0}\right)=−\propto \\ $$$${so}\:{e}^{{ln}\left(\mathrm{0}\right)} \:=\:{e}^{−\propto} \\ $$$$\mathrm{0}\:=\:\frac{\mathrm{1}}{{e}^{\propto} }\:\:=\:\mathrm{0}\:\:\left({true}\:\right)?\: \\ $$
Answered by john santu last updated on 29/Dec/19
$${in}\:{otherwise}\: \\ $$$${let}\:{ln}\left(\mathrm{0}\right)\:=\:{t}\:,\:{then}\: \\ $$$${e}^{{ln}\left(\mathrm{0}\right)\:} =\:{e}^{{t}\:\:} \Rightarrow\:\mathrm{0}\:=\:{e}^{{t}\:} ,\:{so}\:{satisfy}\:{for}\: \\ $$$${t}\:=\:−\:\propto \\ $$
Commented by benjo 1/2 santuyy last updated on 29/Dec/19
$${thanks}\:{you}\:{sir} \\ $$