JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim _{x \rightarrow+\infty} x\left(\sqrt{x^2+1}-x\right)=

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Correct option: A

\frac{1}{2}

Option A (

\frac{1}{2}

) is correct because after rationalizing and simplifying, the limit of the expression as x approaches infinity is 1/2.

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