5. Which of the following functions grow faster than ln(x) as x→∞? Which grow at the same rate as ln(x)? Which grow slower?
g. 1/x

3. Which of the following functions grow faster than x² as x→∞? Which grow at the same rate as x²? Which grow slower?

g. x^3 e^(-x)

82. Use the definitions of the hyperbolic functions to find each of the following limits.

f. lim(x→∞) coth x

9. True, or false? As x→∞,

g. ln(x) = o(ln(2x))

1. Express the following logarithms in terms of ln 2 and ln 3.

f. ln √(13.5)

2. Which of the following functions grow faster than e^x as x→∞? Which grow at the same rate as e^x? Which grow slower?

g. e^(cos(x))

4. Which of the following functions grow faster than x² as x→∞? Which grow at the same rate as x²? Which grow slower?

g. (1.1)^x