MathAnalysisCalculusLimits

Limits: indeterminate forms

Infinity vs infinity

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How would you solve this limit?

$\lim\limits_{x\to\infty} (\sqrt{x^2+10}-x)=$

Select one option from the list

divide by conjugate expression

\sqrt{x^2+10}-x

and get answer 0

multiply by conjugate expression

\sqrt{x^2+10}+x

and get answer

\infty

multiply and divide by conjugate expression

\sqrt{x^2+10}-x

and get answer

\infty

multiply and divide by conjugate expression

\sqrt{x^2+10}+x

and get answer 0

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