Question Number 6689 by Tawakalitu. last updated on 13/Jul/16
$${limit}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{1}\:−\:{x}} \\ $$$${x}\:\dashrightarrow\:\infty \\ $$
Answered by FilupSmith last updated on 14/Jul/16
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}−{x}}\:=\:\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}−\infty} \\ $$$$=\mathrm{1}−\frac{\mathrm{1}}{\infty} \\ $$$$=\mathrm{1}−\mathrm{0} \\ $$$$=\mathrm{1} \\ $$
Commented by Tawakalitu. last updated on 14/Jul/16
$${Thanks} \\ $$