Question

Решите срочно, пожалуйста

Answer 1

$limlimits _{x to 0}Big (frac{sin2x}{x}Big )^{1+x}=Big [, sinalpha sim alpha ; ,; esli; alpha to 0; ,; alpha =2xto 0, Big ]=limlimits _{x to 0}Big (frac{2x}{x}Big )^{1+x}=\\=limlimits _{x to 0}, 2^{1+x}=Big [; 2^{1+0}, Big ]=2^1=2$