$\mathop {\lim }\limits_{x \to \infty } \,\,\left[ {\sqrt {{x^2} + 2x - 1} - x} \right]$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\lim\limits_{x \to \infty } \,\,\left[ {\sqrt {{x^2} + 2x - 1} - x} \right]

is equal to

View answer and explanation

Correct option: D

Option D (1) is correct because, by rationalizing the expression and taking the limit as x approaches infinity, we get 1.

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