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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

$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{this}? \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left[\:\frac{\mathrm{1}}{\mathrm{10}^{{n}} }\:\right] \\ $$$$\left.\mathrm{a}\right)\:\mathrm{0}.\mathrm{00}...\mathrm{001} \\ $$$$\left.\mathrm{b}\right)\:\mathrm{0} \\ $$$$\left.\mathrm{c}\right)\:\mathrm{uknown} \\ $$

Commented by 21042004 last updated on 09/Dec/19

Actually (1/(10^n ))=0.0...0_(n zeros) 1

$$\mathrm{Actually}\:\frac{\mathrm{1}}{\mathrm{10}^{\mathrm{n}} }=\underset{\mathrm{n}\:\mathrm{zeros}} {\mathrm{0}.\mathrm{0}...\mathrm{0}1} \\ $$

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