Question

lim(x→0) sin3x/sin15x

Answer 1

$lim_{x to 0} frac{ frac{sin3x}{3x} *3x}{ frac{sin15x}{15x}*15x } = lim_{x to 0} frac{3}{15} * frac{ frac{sin3x}{3x} }{ frac{sin15x}{15x} } = frac{1}{5}* frac{ lim_{xto 0} frac{sin3x}{3x} }{ lim_{xto 0} frac{sin15x}{15x} }= frac{1}{5}$