求极限,lim x→0 sin(x-2)÷x平方-4 lim x→正无穷(1+1÷3x) limx→...

lim(x→0) sin(x - 2)/(x² - 4)= lim(x→0) sin(x - 2)/[(x - 2)(x + 2)]= lim(x→0) sin(x - 2)/(x - 2) • lim(x→0) 1/(x + 2)= 1 • 1/(0 + 2)= 1/2lim(x→+∞) [1 + 1/(3x)]= 1 + lim(x→+∞) 1...