Question

Решить:
Lim (x->0) tg2x/sin5x

Answer 1

$lim_{x to 0} frac{tg2x}{sin5x} = lim_{x to 0} frac{sin2x}{cos2xcdot sin5x} = lim_{x to 0} frac{1}{cos2x}cdot lim_{x to 0} frac{sin2xcdot 5xcdot 2}{2xcdot 5cdot sin5x} = \ \ = 1cdot lim_{x to 0} frac{sin2x}{2x}cdot lim_{x to 0} frac{5x}{ sin5x}cdot lim_{x to 0} frac{2}{5}=1cdot 1cdot 1cdot frac{2}{5}= frac{2}{5}$

Answer 2

привет ,помоги http://znanija.com/task/20233321

Answer 3

http://znanija.com/task/20234914 - помоги