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

f. (e^x)/2

2. Express the following logarithms in terms of ln 5 and ln 7.

f. (ln35 + ln(1/7))/(ln25)

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

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

f. ln √(13.5)

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

e. (3/2)^x