Asked by tony
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)
a. 3.2^(2x)
b. e^(x/6)
c. 1/8 e^(2x)
Answers
Answered by
Steve
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.
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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