Posted by **Anonymous** on Thursday, August 30, 2012 at 12:55pm.

(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) =

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