Question

Решение лимитов

Найти lim tg7x/x при x ->0

Answer 1

$lim_{x to 0} frac{tg7x}{x}= lim_{x to 0} frac{sin7x}{cos7x*7x* frac{1}{7} }= lim_{x to 0} frac{tg7x}{7x}* frac{7}{cosx}=1* frac{7}{1}=7$