lim((a^(x+1)+e^x)/(a^x+e^(x+1)),x->infinity,a>0

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lim((a^(x+1)+e^x)/(a^x+e^(x+1)),x->infinity,a>0

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lim((a^(x+1)+e^x)/(a^x+e^(x+1)),x->infinity,a>0

=1/e assuming abs(a)<1

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