In this exercise we compare the graphs of f(x) tan x and
Chapter 7, Problem 51(choose chapter or problem)
In this exercise we compare the graphs of f(x) tan x and g(x) x3 on the open interval p/2 x p/2. On the same set of axes, graph these two functions for p/2 x p/2. Then answer the following questions. (a) Which of the two graphs appears to be horizontal as it passes through the origin? (b) When x is in the open interval (0, ), which quantity is larger, tan x or x3 ? Why is your choice reasonable? (Hint: x3 is finite at x p/2.) (c) When x is in the open interval ( 0), which quantity is larger, tan x or x3 ? Why is your choice reasonable?
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