limx→a[f(x)+g(x)]=limx→af(x)+limx→ag(x) limx→a[c×f(x)]=c×limx→af(x) limx→a[f(x)×g(x)]=limx→af(x)×limx→ag(x) limx→a[g(x)f(x)]=limx→ag(x)limx→af(x) if limx→ag(x)=0 limx→ac=c if c=∞ limx→ax=a if a=∞