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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If lim⁡x→0cos⁡4x+acos⁡2x+bx4\lim \limits_{{x \rightarrow 0}} \frac{\cos 4 x+a \cos 2 x+b}{x^4} is finite, then (a,b)=(a, b)=
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Correct option: C
(−4,3)(-4,3)
Option C ((-4,3)) is correct because the limit is finite only when a=−4a = -4 and b=3b = 3, which are found by applying L'Hospital's rule and setting up equations.

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