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.

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.

25. y = 2(x² + 1)/√(cos 2x)

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?

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

e. arctan x = O(1)