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

question 137

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $$\begin{array} { l } y = 7 x ^ { 10 } \\y = e ^ { x } \\y = e ^ { x - 2 } \\y = x e ^ { x }\end{array}$$

• A) Slowest: \(y = 7 x ^ { 10 }\)
• Fastest: \(y = e ^ { x }\) and \(y = e ^ { x - 2 }\) grow at the same rate.
• B) Slowest: \(y = x e ^ { x }\)
• Fastest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } }\)
• C) Slowest: \(y = e ^ { x - 2 }\)
• Fastest: \(y = x e ^ { x }\)
• D) Slowest: \(\mathrm { y } = 7 \mathrm { x } ^ { 10 }\)
• Fastest: \(y = x e ^ { x }\)

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