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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If lim⁡x→0log⁡ecot⁡(π4−K1x)tan⁡K2x=1\lim \limits_{{x \rightarrow 0}} \frac{\log _e \cot \left(\frac{\pi}{4}-K_1 x\right)}{\tan K_2 x}=1, then
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Correct option: B
2K1=K22 K_1=K_2
The correct answer is B (2K1=K22 K_1=K_2) because by applying logarithmic properties and limits, the relationship between K1K_1 and K2K_2 is found to be 2K1=K22K_1 = K_2.

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