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Question

limx0sin3xsinxsinx

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Solution

limx0sin3xsinxsinx

=limx02cos(3x+xx)sin(3xxx)sinx

[Applying Componendo & dividendo formula]

=limx0(2cos2xsinxsinx)

=limx0(2cos2x)=2limx0cos2x

=2×cos 0

=2×1=2


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