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a

0

b

1

c

2

d

4

answer is B.

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Detailed Solution

limx→0logetan24xlogetan22x=limx→01tan24x2tan4xsec24x×41tan22x2tan2xsec22x×2 using LH rule=limx→021sin4xcos4x1sin2xcos2x=limx→021sin4xcos4x22sin2xcos2x=limx→01cos4x=1

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