(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). 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) =
(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). 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) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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).
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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