Homework Help: Calculus

Posted by Anonymous on Thursday, August 30, 2012 at 12:51pm.

(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) =

Calculus - Steve, Thursday, August 30, 2012 at 3:47pm
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 :-)

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