Question Number 185204 by Ml last updated on 18/Jan/23
$$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}+\frac{\mathrm{1}}{\mathrm{3}+\frac{\mathrm{1}}{\mathrm{4}+\frac{\mathrm{1}}{\ddots}}}}=??? \\ $$
Commented by MJS_new last updated on 18/Jan/23
![you could type ?^3 instead of ???; if you feel you can′t live without an answer just type ?^∞ [short for lim_(n→∞) ?^n ]](https://www.tinkutara.com/question/Q185233.png)
$$\mathrm{you}\:\mathrm{could}\:\mathrm{type}\:?^{\mathrm{3}} \:\mathrm{instead}\:\mathrm{of}\:???;\:\mathrm{if}\:\mathrm{you}\:\mathrm{feel} \\ $$$$\mathrm{you}\:\mathrm{can}'\mathrm{t}\:\mathrm{live}\:\mathrm{without}\:\mathrm{an}\:\mathrm{answer}\:\mathrm{just}\:\mathrm{type}\:?^{\infty} \\ $$$$\left[\mathrm{short}\:\mathrm{for}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:?^{{n}} \right] \\ $$
Answered by MJS_new last updated on 18/Jan/23
$$\mathrm{you}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate}\:\mathrm{with}\:\mathrm{a}\:\mathrm{calculator} \\ $$$$\mathrm{no}\:\mathrm{closed}\:\mathrm{form}\:\mathrm{exists} \\ $$$$\approx\mathrm{1}.\mathrm{43312742672} \\ $$