Question

Lim sen(5x)/sen(3x)
x->0

Answer 1

$\lim_{x \to 0} \frac{sen.5x}{sen.3x}$

$\lim_{x \to 0} \frac{ \frac{sen.5x}{x} }{ \frac{sen.3x}{x} } = \frac{5}{3}$


remember : $\lim_{x \to 0} \frac{sen. mx}{sen.nx} = \frac{m}{n}$

$\lim_{x \to 0} \frac{sen.mx}{x} =m$

$\lim_{x \to 0} \frac{x}{sen.nx} = \frac{1}{n}$