Question: For the functions the following:
(a) Make a table of values of f(x) for x = 0.1, 0.01, 0.001, 0.0001, -0.1, -0.01, -0.001, and -0.0001.
(b) Make a conjecture about the value of
limx→0 f(x)
(c) Graph the function to see if it is consistent with your answers to parts (a) and (b).
(d) Find an interval for x near 0 such that the difference between your conjectured limit and the value of the function is less than 0.01. (In other words, find a window of height 0.02 such that the graph exits the sides of the window and not the top or bottom of the window.)
f(x) = sin 3x
x