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(2x)/x^2 We want to find the limit limx→0 cos(9x)−cos(2x)/x^2 Start by calculating the values of the function for the inputs listed in this table. 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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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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(2x)/x^2

We want to find the limit limx→0 cos(9x)−cos(2x)/x^2

Start by calculating the values of the function for the inputs listed in this table.

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(2x)/x^2=

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