Find the limits in Exercises 13–20. (If in doubt, look at the function’s graph.)
19. lim(x→∞)arccsc(x)

84. Find lim(x→∞) (√(x² + 1) - √x).

Find the limits in Exercises 13–20. (If in doubt, look at the function’s graph.)

13. lim(x → 1⁻)arcsin(x)

Find the limits in Exercises 13–20. (If in doubt, look at the function’s graph.)

15. lim(x→∞)arctan(x)

Find the limits in Exercises 13–20. (If in doubt, look at the function’s graph.)

17. lim(x→∞)arcsec(x)

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

a. lim(x→∞) tanh x

9. True, or false? As x→∞,

a. x = o(x)

9. True, or false? As x→∞,

c. x = O(x+5)

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

c. lim(x→∞) sinh x