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Question

limx0x cot(4x)sin2x cot2(2x) is equal to :


Your Answer
A
2
Your Answer
B
0
Correct Answer
C
1
Your Answer
D
4

Solution

The correct option is C 1
limx0x cot(4x)sin2x cot2(2x)

=limx0xcos4xsin4xsin2xcos22x4sin2xcos2x

=limx04xcos4xcos2xsin4xcos22x

=limx0(4xsin4x)(cos4xcos2xcos22x)=1×1=1

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