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Even though the limit can be found using the theorem, Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions, use L'Hpital's rule

Even though the limit can be found using the theorem, Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions, use L'Hpital's rule to find the limit.

lim 2x+6/7x+5 x->infinity

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