Question Number 75299 by 21042004 last updated on 09/Dec/19
![What is the value of this? lim_(x→∞) [ (1/(10^n )) ] a) 0.00...001 b) 0 c) uknown](https://www.tinkutara.com/question/Q75299.png)
$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{this}? \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left[\:\frac{\mathrm{1}}{\mathrm{10}^{{n}} }\:\right] \\ $$$$\left.\mathrm{a}\right)\:\mathrm{0}.\mathrm{00}…\mathrm{001} \\ $$$$\left.\mathrm{b}\right)\:\mathrm{0} \\ $$$$\left.\mathrm{c}\right)\:\mathrm{uknown} \\ $$
Commented by 21042004 last updated on 09/Dec/19
$$\mathrm{Actually}\:\frac{\mathrm{1}}{\mathrm{10}^{\mathrm{n}} }=\underset{\mathrm{n}\:\mathrm{zeros}} {\mathrm{0}.\mathrm{0}…\mathrm{0}1} \\ $$