The one-sided limit of the function f(x) defined as f(x) = sin(x)/x for x > 0 and f(x) = x + 1 for x ≤ 0 at the point x = 0 is evaluated using the Squeeze Theorem. The limit can be expressed as cos(x) < sin(x)/x < 1, leading to the conclusion that as x approaches 0 from the right, sin(x)/x approaches 1. Therefore, the one-sided limit from the right is 1, while the left-hand limit is 1, resulting in a definitive limit of 1 at x = 0.
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