APFIVE Asymptotic Growth Rates Of Functions
Rank the following functions by their asymptotic growth rates as $$x \to \infty$$, from slowest growing to fastest growing: $$f(x)=\ln(x)$$, $$g(x)=\sqrt{x}$$, $$h(x)=x$$, and $$k(x)=e^x$$.
A
ln(x), sqrt(x), x, e^x
B
sqrt(x), ln(x), e^x, x
C
e^x, x, sqrt(x), ln(x)
D
x, e^x, sqrt(x), ln(x)
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