Student Question

f(x) = (cos 2x − cos x)/(x2)

by graphing and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim x → 0 f(x). Check the value of the limit by evaluating f(x) for values of x that approach 0. (Round your answers to six decimal places.)

A) f(.1) B) f(.01) C) f(.001) D) f(.0001)

Expert Answers

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Estimate `lim_(x->0)(cos2x-cosx)/(x^2)`

From the graphs it appears that the y-intercept is at -1.5.

`f(.1)~~-1.493759`

`f(.01)~~ -1.499938`

`f(.001)~~-1.499999`

`f(.0001)~~-1.5`

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