Question

Relative rates of growth, graphing calculator required. Not that difficult but some rules are needed. Ask me if you have any questions regarding the material. Thanks!

Answer 1

Given:-

`f(x)=\sqrt[]{x},g(x)=\ln (x)`

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,

`\begin{gathered} f(x)=\sqrt[]{x} \\ f(\infty)=\sqrt[]{\infty}=\infty \end{gathered}`

Also we get,

`g(x)=\ln (x)=\ln (\infty)=\infty`

So the resulting value is infinity for both.

So the required option is The rate of growth cannot be determined.