Find limit as x->0 of tan(ax)/sin(bx)
- Thread starter rmbiggee
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skeeter
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- Dec 15, 2005
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\(\displaystyle \frac{\tan(ax)}{\sin(bx)} \cdot \frac{abx}{abx} =\)
\(\displaystyle \frac{\tan(ax)}{abx} \cdot \frac{abx}{\sin(bx)} =\)
\(\displaystyle \frac{a}{b} \cdot \frac{\tan(ax)}{ax} \cdot \frac{bx}{\sin(bx)}\)
now take the limit as x -> 0.
\(\displaystyle \frac{\tan(ax)}{abx} \cdot \frac{abx}{\sin(bx)} =\)
\(\displaystyle \frac{a}{b} \cdot \frac{\tan(ax)}{ax} \cdot \frac{bx}{\sin(bx)}\)
now take the limit as x -> 0.