Given:-
[tex]f(x)=\sqrt[]{x},g(x)=\ln (x)[/tex]
To find the required option, which is correct.
So we need to find the value when x tends to infinity. so to find the value we substitute infinity in place of x. so we get,
[tex]\begin{gathered} f(x)=\sqrt[]{x} \\ f(\infty)=\sqrt[]{\infty}=\infty \end{gathered}[/tex]
Also we get,
[tex]g(x)=\ln (x)=\ln (\infty)=\infty[/tex]
So the resulting value is infinity for both.
So the required option is The rate of growth cannot be determined.
