The value of $\mathop {\lim }\limits_{x \to \infty } \frac{{\sqrt {1 + {x^4}} - \left( {1 + {x^2}} \right)}}{{{x^2}}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

The value of

\lim\limits_{x \to \infty } \frac{{\sqrt {1 + {x^4}} - \left( {1 + {x^2}} \right)}}{{{x^2}}}

is equal to

View answer and explanation

Correct option: A

Option A (0) is correct because after dividing numerator and denominator by x² and taking the limit, the expression evaluates to 0.

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