Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.) Let f(x)= cos(9x)−cos(10x)/x2 We want to find the limit limx→0 cos(9x)−cos(10x)/x2 Start by calculating the values of the function for the inputs listed in this table. x x  f(x)f(x) 0.2   0.1   0.05   0.01   0.001   0.0001   0.00001  Based on the values in this table, it appears limx→0 cos(9x)−cos(10x)/x2=?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.)
Let f(x)= cos(9x)−cos(10x)/x2
We want to find the limit limx→0 cos(9x)−cos(10x)/x2

Start by calculating the values of the function for the inputs listed in this table.
x x  f(x)f(x)
0.2  
0.1  
0.05  
0.01  
0.001  
0.0001  
0.00001  
Based on the values in this table, it appears limx→0 cos(9x)−cos(10x)/x2=?
 
 

 

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