Here are some properties of the limits of the function: If limits limx→alimx→a f(x) and limx→alimx→a g(x) exists, and n is an integer, then,
- Law of Addition: limx→a[f(x)+g(x)]=limx→af(x)+limx→ag(x)limx→a[f(x)+g(x)]=limx→af(x)+limx→ag(x)
- Law of Subtraction: limx→a[f(x)−g(x)]=limx→af(x)−limx→ag(x)limx→a[f(x)−g(x)]=limx→af(x)−limx→ag(x)
- Law of Multiplication: limx→a[f(x)⋅g(x)]=limx→af(x)⋅limx→ag(x)limx→a[f(x)⋅g(x)]=limx→af(x)⋅limx→ag(x)
- Law of Division: limx→a[f(x)g(x)]=limx→af(x)limx→ag(x), where limx→ag(x)≠0limx→a[f(x)g(x)]=limx→af(x)limx→ag(x), where limx→ag(x)≠0
- Law of Power: limx→ac=c