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

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $$\begin{array} { l } y = e ^ { x } \\y = e ^ { x / 7 } \\y = x ^ { x } \\y = 4 ^ { x }\end{array}$$

A) Slowest: $y = e ^ { x / 7 }$
Fastest: $\mathrm { y } = \mathrm { x } ^ { \mathrm { x } }$
B) Slowest: $\mathrm { y } = \mathrm { e } ^ { \mathrm { x } / 7 }$ and $\mathrm { y } = \mathrm { e } ^ { \mathrm { x } }$ grow at the same rate.
Fastest: $y = 4 ^ { x }$
C) Slowest: $y = x ^ { x }$
Fastest: $y = 4 ^ { x }$
D) Slowest: $y = e ^ { x / 7 }$ and $y = e ^ { x }$ grow at the same rate.
Fastest: $\mathrm { y } = \mathrm { x } ^ { \mathrm { x } }$