Question

daca am sinus la puterea a doua din 4x ,se poate scrie si sinus de 16x patrat???va rog am nevoie urgent ,ma cam incurca sinusul in exercitiu(mentionez ca sunt la limite remarcabile cls xi-a

Answer 1

Salutare

$\lim_{x \to 0 } \frac{sin^{2}4x }{8x^{2} } \\\\ \lim_{x \to 0} \frac{sin4x*sin4x}{8*x*x } \\\\ \lim_{x \to 0} \frac{2}{2}\frac{sin4x*sin4x}{8*x*x} \\\\ \lim_{x \to 0} \frac{2*sin4x*sin4x}{16*x*x}\\\\ \lim_{x \to 0} \frac{2*sin4x*sin4x}{4x*4x}\\\\\\ 2*\lim_{x \to 0} \frac{sin4x}{4x}* \lim_{x \to 0} \frac{sin4x}{4x}\\\\\\\\2*1*1=2$