Answer :

Final answer:

The limits represent the values a function approaches as a given input approaches a certain value from the left or both sides.

Explanation:

When we say that lim x → 6− f(x) = 9, it means that as x approaches 6 from the left side, the values of f(x) approach 9. On the other hand, when we say that lim x → 6 f(x) = 2, it means that as x approaches 6 from both sides, the values of f(x) approach 2.

For example, let's say we have a function f(x) = x^2 + 1. If we evaluate the function as x approaches 6 from the left side (x = 5.9, 5.99, 5.999, ...), we will see that the values of f(x) get closer and closer to 9. Similarly, if we evaluate the function as x approaches 6 from both sides (x = 5.9, 5.99, 6.01, 6.001, ...), we will see that the values of f(x) get closer and closer to 2.

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