x→2
Definition
This term refers to taking the limit as x approaches 2, meaning we are interested in what happens to the function as x gets arbitrarily close to 2.
Analogy
Imagine driving on a road with an exit sign indicating you're getting closer to your destination, which is labeled 'x=2.' Taking this exit means you want to see what lies ahead just before reaching your destination.
Related terms
Approaching from below: Considering values slightly less than 2, such as x = 1.9 or x = 1.99.
Approaching from above: Considering values slightly greater than 2, such as x = 2.1 or x = 2.01.
Approaching from both sides: Taking into account values on both sides of 2, allowing us to see how the function behaves around this specific point.
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