Comparing Function Growth Rates

Question

Consider the functions plotted in the graph above: $$f(x)=\ln(x)$$, $$g(x)=x$$, $$h(x)=x^2$$, and $$k(x)=e^x$$. Rank these functions in order of increasing rate of growth as $$x 	o \infty$$.

Accepted Answer

$$\ln(x)$$, $$x$$, $$x^2$$, $$e^x$$

Answer

$$e^x$$, $$x^2$$, $$x$$, $$\ln(x)$$

Answer

$$\ln(x)$$, $$x^2$$, $$x$$, $$e^x$$

Answer

$$x$$, $$\ln(x)$$, $$x^2$$, $$e^x$$