Calculus

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(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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