find the limit of (sin 2x)/(3x)find the limit of lim x-> 0+(sin 2x)/(3x)

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lfryerda eNotes educator| Certified Educator

This question requires the fundamental trig limit `lim_{x->0}{sin x}/x=1` .

`lim_{x->0}{sin2x}/{3x}`

`=2/3lim_{x->0}{sin2x}/{2x}`

`=2/3`   since we use the fundamental trig limit for the right side

The trig limit is `2/3.`