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limit 3x/(sin2x) as x->0
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lim as x-> 0 of 3x/(sin2x)
2 answers
lim as x-> 0 of 3x/(sin2x)
3 * lim as x-> 0 of [ x/(sin2x) ]
as x--0, sin 2x --> 2x - (2x)^3/3! etc which approaches 2x when x is small
3 * x/(2x) = 3/2
3 * lim as x-> 0 of [ x/(sin2x) ]
as x--0, sin 2x --> 2x - (2x)^3/3! etc which approaches 2x when x is small
3 * x/(2x) = 3/2