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

question 101

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $\begin{array} { l } y = x + 7 \\y = e ^ { x } \\y = x ^ { 3 } + \cos ^ { 2 } x \\y = 4 ^ { x }\end{array}$

• A) Slowest: \(y = x + 7\)
• Fastest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { X } }\)
• B) Slowest: \(y = e ^ { x }\)
• Fastest: \(y = x ^ { 3 } + \cos ^ { 2 } x\)
• C) Slowest: \(y = x + 7\)
• Fastest: \(y = x ^ { 3 } + \cos ^ { 2 } x\)
• D) Slowest: \(y = x + 7\)
• Fastest: \(y = 4 ^ { x }\)

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