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

question 112

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $$\begin{array} { l } y = 2 x ^ { 2 } + 9 x \\y = e ^ { x } \\y = e ^ { x } / 6 \\y = \log _ { 4 } x\end{array}$$

• A) Slowest: \(y = \log _ { 4 } x\)
• Fastest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { X } }\)
• B) Slowest: \(2 x ^ { 2 } + 9 x\)
• Fastest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } }\)
• C) Slowest: \(y = e ^ { x } / 6\)
• Fastest: \(2 x ^ { 2 } + 9 x\)
• D) Slowest: \(y = \log _ { 4 } x\)
• Fastest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } }\) and \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } } / 6\) grow at the same rate.

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