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Question Number 155392 by cortano last updated on 30/Sep/21

  lim_(x→0)  ((((a^(x+1) +b^(x+1) )^2 )/(a+b)))^(1/x) =…?

$$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{\left({a}^{{x}+\mathrm{1}} +{b}^{{x}+\mathrm{1}} \right)^{\mathrm{2}} }{{a}+{b}}\right)^{\frac{\mathrm{1}}{{x}}} =\ldots? \\ $$

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