Let $f(x)=x^{1 / 2}$ and $g(x)=\ln x$. Which function dominates as $x \rightarrow \infty$ ?
A) $ f(x)$
B) $ g(x)$

Name: Let $f(x)=x^{1 / 2}$ and $g(x)=\ln x$. Which function dominates as $x \rightarrow \infty$ ? A) $ f(x)$ B) $ g(x)$
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Question

Quizplus · Accepted Answer

As $x \rightarrow \infty$, $f(x) = x^{1/2}$ grows faster than $g(x) = \ln x$, because polynomial functions grow faster than logarithmic functions.

Let f(x)=x1/2f(x)=x^{1 / 2}f(x)=x1/2 And g(x)=ln⁡xg(x)=\ln xg(x)=lnx Which Function Dominates As g(x)=\ln

Let $f(x)=x^{1 / 2}$ And $g(x)=\ln x$ Which Function Dominates As g(x)=\ln