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Okay, starting off with a limits problem involving a piecewise function and an absolute value. This looks like a classic scenario for testing understanding of how limits behave around points where the function definition changes.

Ah, I see they're setting up to analyze the function based on whether x is greater than or less than 3. That's the crucial first step when dealing with absolute values in limits.

Interesting how they immediately simplify the absolute value for x > 3. It makes perfect sense that if x is slightly larger than 3, then x-3 is positive, so the absolute value doesn't change anything. This should lead to a straightforward cancellation.

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The video immediately introduces a calculus problem involving limits of a piecewise function [0:00]. The function is defined as |x - 3| / (x - 3) for x ≠ 3, and 0 for x = 3. The presenter begins by explaining how to approach limits by considering cases where x is greater than or less than the value it's approaching, which in this instance is 3 [0:10].

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