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Question

limx0sin24x2x4

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Solution

limx0sin24x2x4

=limx0(sin4x2)2x4

=limx0(sin4x2)2(x2)2

=(limx0sin4x2x2)2

=(lim4x20sin4x24x2)×16

=1×16=16 [limx0sinxx=1]

=16


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