Does grow faster, slower, or at the same rate as g as x? Give reasons for your answers. a. (x) = log 2 x,

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

a. ƒ(x) = log₂ x, g(x) = log₃ x

b. ƒ(x) = x, g(x) = x + 1/x

c. ƒ(x) = x/100, g(x) = xe^-x

d. ƒ(x) = x, g(x) = tan^-1 x

e. ƒ(x) = csc^-1 x, g(x) = 1/x

f. ƒ(x) = sinh x, g(x) = e^x