For the functions in 7677, do the following:(a) Make a table of values of f(x) for x =

Chapter 1, Problem 77

(choose chapter or problem)

For the functions in 7677, do the following:(a) Make a table of values of f(x) for x = a+0.1, a+0.01,a + 0.001, a + 0.0001, a 0.1, a 0.01, a 0.001,and a 0.0001.(b) Make a conjecture about the value of limxaf(x).(c) Graph the function to see if it is consistent with your answersto parts (a) and (b).(d) Find an interval for x containing a such that the differencebetween your conjectured limit and the value ofthe function is less than 0.01 on that interval. (In otherwords, find a window of height 0.02 such that the graphexits the sides of the window and not the top or bottomof the window.)f(x) = cos 3x 1+4.5x2x3 , a = 0