Limit Laws - A tricky Question of finding limit using limit laws - Calculus

In this video I will show you finding a limit using llimit laws, the question is a bit tricky.

Let f(x) and g(x) be defined for all x ≠ a over some open interval containing a. Assume that L and M are real numbers such that limx→af(x)=L and limx→ag(x)=M. Let c be a constant. Then, each of the following statements holds:

Sum law : limx→a(f(x)+g(x))=limx→af(x)+limx→ag(x) = L+M

Difference law : limx→a(f(x)−g(x))=limx→af(x)−limx→ag(x) = L−M

Constant multiple : limx→acf(x)=c⋅limx→af(x)=cL

Product law : limx→a(f(x)⋅g(x))=limx→af(x)⋅limx→ag(x) = LM

Quotient law : limx→a(f(x)/g(x))=limx→af(x)/limx→ag(x) = L/M when M≠0