Question Number 6692 by Tawakalitu. last updated on 14/Jul/16
$${limit}\:\:\:\:\:\:\:\:\mathrm{1}\:+\:\frac{\mathrm{1}}{{x}\:−\:\mathrm{1}} \\ $$$${x}\:\rightarrow\:\infty \\ $$
Answered by FilupSmith last updated on 14/Jul/16
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{1}+\frac{\mathrm{1}}{{x}−\mathrm{1}}=\mathrm{1}+\frac{\mathrm{1}}{\infty−\mathrm{1}} \\ $$$$=\mathrm{1}+\frac{\mathrm{1}}{\infty} \\ $$$$=\mathrm{1}+\mathrm{0} \\ $$$$=\mathrm{1} \\ $$