Answered

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1.Which of the following functions grows the fastest as x goes to infinity? (4 points)2xln(x)sin(x)x20

Sagot :

Answer:

x^20

Explanation:

To know which function grows the fastest as x goes to infinity, we need to replace x with great values.

For example, for x = 20 we get

[tex]\begin{gathered} 2^x=2^{20}=1,048,576 \\ ln(x)=ln(20)=2.99 \\ sin(x)=sin(20)=0.34 \\ x^{20}=20^{20}=1.04\times10^{26} \end{gathered}[/tex]

We get the grater value with x^20, so the function that grows the fastest is x^20

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