Asked by Anonymous
(a) By graphing the function
f(x) = (cos 2x − cos x)/x2
and zooming in toward the point where the graph crosses the y-axis, estimate the value of
lim
x → 0
f(x).
(b) Check your answer in part (a) by evaluating
f(x)
for values of x that approach 0. (Round your answers to six decimal places.)
f(0.1) =
f(0.01) =
f(0.001) =
f(0.0001) =
f(−0.1) =
f(−0.01) =
f(−0.001) =
f(−0.0001) =
lim
x→0
f(x) =
f(x) = (cos 2x − cos x)/x2
and zooming in toward the point where the graph crosses the y-axis, estimate the value of
lim
x → 0
f(x).
(b) Check your answer in part (a) by evaluating
f(x)
for values of x that approach 0. (Round your answers to six decimal places.)
f(0.1) =
f(0.01) =
f(0.001) =
f(0.0001) =
f(−0.1) =
f(−0.01) =
f(−0.001) =
f(−0.0001) =
lim
x→0
f(x) =
Answers
Answered by
Steve
so, you're not gonna even do the evaluations of f(x)?
If you do that, you can verify that f(x) --> -3/2
To see the graph, visit on of my most useful sites:
http://rechneronline.de/function-graphs
PS This page also has a box near the bottom which evaluates a function for different values of x, separated by spaces :-)
If you do that, you can verify that f(x) --> -3/2
To see the graph, visit on of my most useful sites:
http://rechneronline.de/function-graphs
PS This page also has a box near the bottom which evaluates a function for different values of x, separated by spaces :-)