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

question 7

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: \(y = \sqrt { x }\)

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