Remember that when f ( x ) {\displaystyle f(x)} and g ( x ) {\displaystyle g(x)} are continuous at x = a {\displaystyle x=a} , so is f ( x ) g ( x ) {\displaystyle {\frac {f(x)}{g(x)}}} if g ( a ) ≠ 0 {\displaystyle g(a)\neq 0} .
