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(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
help_outline

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(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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check_circleAnswer
Step 1

Graphed the function using graphing calculator, 

zooming in got lim x->0 f(x)= -1.5

Answer(a): -1.5

-0.5
-15
0 5
-05
-1
0
1.5
-0.5
help_outline

Image Transcriptionclose

-0.5 -15 0 5 -05 -1 0 1.5 -0.5

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Step 2

"Using calculator fou...

f(0.1)
-1.493759
f(0.01)
-1.499938
f(0.001) -1.499999
f(0.0001)
-1.500000
help_outline

Image Transcriptionclose

f(0.1) -1.493759 f(0.01) -1.499938 f(0.001) -1.499999 f(0.0001) -1.500000

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Tagged in

Math

Calculus

Limits

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