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

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

a. 1/x⁴ = O(1/x² + 1/x⁴)

Find the limits in Exercises 1–6.

3. lim(x→0⁺) (cox(√x))^(1/x)

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

c. ln x = o(x+1)

In Exercises 25–30, use logarithmic differentiation to find the derivative of y with respect to the appropriate variable.

29. y = (sin θ)^√θ

In Exercises 25–30, use logarithmic differentiation to find the derivative of y with respect to the appropriate variable.

27. y = (((t+1)(t-1))/((t-2)(t+3)))^5, t>2

7. What integrals lead to logarithms? Give examples. What are the integrals of tan x, cot x, sec x, and csc x?