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Question Number 152376 by fotosy2k last updated on 27/Aug/21

Commented by fotosy2k last updated on 28/Aug/21

$$plshelp$$

Answered by imjagoll last updated on 28/Aug/21

$$\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }\frac{\mathrm{a}{\left(\frac{\mathrm{a}}{\mathrm{b}}\right)}^{\mathrm{n}}+\mathrm{b}}{{\left(\frac{\mathrm{a}}{\mathrm{b}}\right)}^{\mathrm{n}}+1}=\mathrm{b}$$$$\mathrm{note}:\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }{\left(\frac{\mathrm{a}}{\mathrm{b}}\right)}^{\mathrm{n}}=0,\mathrm{a}<\mathrm{b}$$

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