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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Analyzing +4 | -1
If lim⁡x→0aex−bcos⁡x+ce−xxsin⁡x=2\lim \limits_{{x \rightarrow 0}} \frac{a e^x-b \cos x+c e^{-x}}{x \sin x}=2, then a+b+c=a+b+c=
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Correct option: B
4
Option B (4) is correct because the limit exists only when certain conditions are met, which leads to a system of equations that can be solved for a+b+ca+b+c.

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