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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If lim⁡x→01−cos⁡xeax−bx−1=2\lim \limits_{{x \rightarrow 0}} \frac{1-\cos x}{e^{a x}-b x-1}=2 then the value of ab\frac{a}{b} is equal to
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Correct option: B
1
Option B (1) is correct because applying L'Hopital's rule twice and using the given limit, we find that a must equal b, hence a/b = 1.

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