(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
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Chapter2: Second-order Linear Odes
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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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