I need so solve some limits,please help!

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I need so solve some limits,please help!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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what is it
\[\lim_{x \rightarrow \infty} \frac{ x2+1 }{ x2+x+1 }\]
oh never i'm in 5th grade sorryyy

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the long way around is to divide every term by the highest degree in the denominator, so divide everything by x², then take the limit
it's \[x^{2}\] not x2,my mistake
for rational functions in general if the degrees of the numerator and denominator are the same, the limit approaching infinity is the ratio of their leading coefficients
can I use L'Hospital and derivate each term?
yep
I need to use it twice
and i get 2/2 that equals 1,is this correct?
yes it's 1

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