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calc

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Determine if the following functions grow faster, slower, or at the same rate as the function 2e^(2x) as x → ∞.

a. 3.2^(2x)

b. e^(x/6)

c. 1/8 e^(2x)

  • calc - ,

    well, since 3.2 > e, (a) grows faster

    e^(x/6) = (e^(1/12))^(2x)
    since e^(1/12) < e, (b) grows slower

    since 1/8 < 1, (c) grows slower
    However, since the ratio is a constant 1/8, you could say that the growth is the same.

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