Find the Slowest Growing and the Fastest Growing Functions as X→∞

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $$\begin{array} { l } y = \ln 2 x \\y = 5 \ln x \\y = \frac { 1 } { x } \\y = \sqrt { x }\end{array}$$

A) Slowest: $y = \frac { 1 } { x }$
Fastest: $y = \sqrt { x }$
B) Slowest: $y = \frac { 1 } { x }$
Fastest: $y = 5 \ln x$
C) Slowest: $y = \sqrt { x }$
Fastest: $y = \ln 2 x$ and $y = 5 \ln x$ grow at the same rate.
D) Slowest: $y = \ln 2 x$ and $y = 5 \ln x$ grow at the same rate. Fastest: $y = \sqrt { x }$