Does grow faster, slower, or at the same rate as g as x Give reasons for your answers a (x) 3 x , g(x) 2 x b (x) ln 2x, g(x) ln x 2 c (x) 10x 3 2x 2 , g(x) e x d (x) tan 1 (1 x), g(x) 1 x e (x) sin 1 (1 x), g(x) 1 x 2 f (x) sech x, g(x) e x

Question: Does grow faster, slower, or at the same rate as g as x? Give reasons for your answers. a. (x) = 3 -x ,

Does ƒ grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.

a. ƒ(x) = 3^-x, g(x) = 2^-x

b. ƒ(x) = ln 2x, g(x) = ln x²

c. ƒ(x) = 10x³ + 2x², g(x) = e^x

d. ƒ(x) = tan^-1(1/x), g(x) = 1/x

e. ƒ(x) = sin^-1(1/x), g(x) = 1/x²

f. ƒ(x) = sech x, g(x) = e^-x

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