111. True, or false? Give reasons for your answers.
e. arctan x = O(1)

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

i. lim(x→-∞) csch x

10. True, or false? As x→∞,

a. 1/(x+3) = O(1/x)

10. True, or false? As x→∞,

c. 1/x - 1/x² = o(1/x)

111. True, or false? Give reasons for your answers.

c. x = o(x + ln(x))

112. True, or false? Give reasons for your answers.

a. 1/x⁴ = O(1/x² + 1/x⁴)

112. True, or false? Give reasons for your answers.

e. sec^(-1)x = O(1)

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

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

a. log_2(x²)