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Question

limx0sin 5xtan 3x

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Solution

limx0sin 5xtan 3x

=limx0sin 5xlim3x0tan 3x

=lim5x0sin 5x5x×5lim3x0tan 3x3x×3

[If x0 then 3x0,5x0]

=53×1[lim5x0sinxx= also lim5x0tanxx=1]

=53


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