Answer:
Explanation:
To estimate the limit of the function cos(3x)-1 as x approaches 0, we can use the values from the table to observe the behavior of the function as x gets closer to 0.
Let's analyze the values in the table:
- For x = -0.1, the corresponding value of f(x) is approximately -0.995.
- For x = -0.01, the corresponding value of f(x) is approximately -0.9995.
- For x = -0.001, the corresponding value of f(x) is approximately -0.999995.
- For x = 0.001, the corresponding value of f(x) is approximately -0.999995.
- For x = 0.01, the corresponding value of f(x) is approximately -0.9995.
- For x = 0.1, the corresponding value of f(x) is approximately -0.995.
As we observe the values of f(x) for x approaching 0 from both the negative and positive sides, we can see that the values are approaching -1. This suggests that the limit of the function as x approaches 0 is -1.
Therefore, we can estimate that the limit of the function cos(3x)-1 as x approaches 0 is -1.