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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Analyzing +4 | -1
lim⁡x→∞x232−232x+416−1(x−1)2\lim \limits_{{x \rightarrow \infty}} \frac{x^{2^{32}}-2^{32} x+4^{16}-1}{(x-1)^2} is equal to
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Correct option: A
263−2312^{63}-2^{31}
Option A (263−2312^{63}-2^{31}) is correct because the limit is evaluated by applying L'Hopital's rule twice and simplifying the expression.

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