(a) By graphing the function f(x) = (cos(2x) - cos(x))/x and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim f(x). (A graphing calculator is recommended.) (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 f(x) x0

Question
(a) By graphing the function f(x) = (cos(2x) - cos(x))/x and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim f(x).
(A graphing calculator is recommended.)
(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 f(x)
x0

Image Transcription

(a) By graphing the function f(x) = (cos(2x) - cos(x))/x and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim f(x). (A graphing calculator is recommended.) (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 f(x) x0

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