Question Number 59164 by hovea cw last updated on 05/May/19
$$\mathrm{5}^{\mathrm{x}} =\mathrm{0} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$
Answered by MJS last updated on 05/May/19
$$\mathrm{5}^{{x}} =\mathrm{0}\:\mathrm{has}\:\mathrm{no}\:\mathrm{solution}\:\mathrm{for}\:{x}\in\mathbb{R} \\ $$$$\mathrm{but}: \\ $$$$\underset{{x}\rightarrow−\infty} {\mathrm{lim}5}^{{x}} =\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{\mathrm{5}^{{x}} }\:=\mathrm{0} \\ $$