Textbook Question
110. Does f grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.
a. f(x) = 3^(-x), g(x) = 2^(-x)
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110. Does f grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.
a. f(x) = 3^(-x), g(x) = 2^(-x)
Evaluate the integrals in Exercises 31–78.
35. ∫sec²x e^(tan x)dx
110. Does f grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.
f. f(x) = sech(x), g(x) = e^(-x)
Evaluate the integrals in Exercises 31–78.
52. ∫(from 1 to 32)(1/5x) dx
Use l’Hôpital’s Rule to find the limits in Exercises 85–108.
91. lim(x→π/2⁻) (sec(7x))(cos(3x))
In Exercises 1–24, find the derivative of y with respect to the appropriate variable.
7. y = log₂(x²/2)