[tex]\begin{gathered} \text{Given} \\ \lim _{x\rightarrow\infty}\frac{f(x)}{g(x)}=5 \end{gathered}[/tex]
Observing the given limit, as x approaches infinity, the quotient of two limits, f(x) and g(x) is equal to the constant
he definition therefore of the given is that it shows f(x) and g(x) grows at the same rate as x goes to infinity.
