limx→0sinxx=1\lim_{x \to 0} \dfrac{\sin x}{x} = 1limx→0xsinx=1; limx→01−cosxx=0\lim_{x \to 0} \dfrac{1 - \cos x}{x} = 0limx→0x1−cosx=0; limx→axn−anx−a=nan−1\lim_{x \to a} \dfrac{x^n - a^n}{x - a} = n a^{n-1}limx→ax−axn−an=nan−1.