Question Number 197548 by cortano12 last updated on 21/Sep/23
$$\:\:\:\:\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\:\left(\frac{\mathrm{4x}−\sqrt{\mathrm{4x}^{\mathrm{2}} +\mathrm{5}}}{\mathrm{2x}−\mathrm{1}}\right)^{\mathrm{bx}} =?\: \\ $$
Answered by MM42 last updated on 21/Sep/23
$${lim}_{{x}\rightarrow−\infty} \:\left(\frac{\mathrm{4}{x}−\mid\mathrm{2}{x}\mid}{\mathrm{2}{x}−\mathrm{1}}\right)^{{bx}} ={lim}_{{x}\rightarrow−\infty} \:\left(\mathrm{3}\right)^{{bx}} \:=\begin{cases}{\:\mathrm{0}\:\:\:\:\:\:\:;\:\:{b}>\mathrm{0}}\\{+\infty\:\:\:;\:\:{b}<\mathrm{0}}\end{cases} \\ $$
Commented by cortano12 last updated on 21/Sep/23
$$\mathrm{wrong} \\ $$