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Answer :
Final answer:
The limit of the function x² as x approaches 3 is 9, calculated using direct substitution because the function is continuous at x = 3.
Explanation:
The task here is to calculate the limit of the function x² as x approaches 3. The limit of a function at a certain point is the value that the function approaches as its variable (in this case, x) approaches a specific value (in this case, 3).
In this case, you simply have to substitute 3 into your function to compute this limit. So, you have to compute 3² which equals 9. Therefore, we can say that limx≈3 x² = 9.
This kind of limit is called a direct substitution and it's possible to use it here because the function x² is continuous at x = 3. In general, if a function f(x) is continuous at a certain point x = c, then the limit of f(x) as x approaches c is simply f(c).
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