вычеслите
lim* sin5x/sin3x

[tex]lim_{x\to 0}\, \frac{sin5x}{sin3x}=lim_{x\to 0}\, (\frac{sin5x}{5x}\cdot 5x\cdot \frac{3x}{sin3x\cdot 3x})=lim_{x\to 0}\frac{5x}{3x}=\frac{5}{3}[/tex]