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Question Number 149660 by fotosy2k last updated on 06/Aug/21

Answered by JDamian last updated on 06/Aug/21

$$\underset{x\to \mathrm{\infty }}{\lim }(\frac{a^{n+1}}{a^n+b^n}+\frac{b^{n+1}}{a^n+b^n})=$$$$=\underset{x\to \mathrm{\infty }}{\lim }\frac{a}{1+{\left(\frac{b}{a}\right)}^n}+\underset{x\to \mathrm{\infty }}{\lim }\frac{b}{1+{\left(\frac{a}{b}\right)}^n}=$$$$=0+b=\mathit{b}$$

Commented by fotosy2k last updated on 06/Aug/21

$$thankyou$$

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