Subjects calculus

Limit Right D96293

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Limit Right D96293


1. **State the problem:** Find the value of the limit $$\lim_{x \to 2^+} (2x - 3)$$ which means we want to find the value of the expression $2x - 3$ as $x$ approaches 2 from the right side (values slightly greater than 2). 2. **Recall the limit rule for continuous functions:** For any polynomial or linear function, the limit as $x$ approaches a point is simply the value of the function at that point because these functions are continuous everywhere. 3. **Evaluate the function at $x=2$:** Substitute $x=2$ into the expression: $$2(2) - 3 = 4 - 3 = 1$$ 4. **Interpretation:** Since the function is linear and continuous, the limit from the right side is the same as the function value at $x=2$, which is 1. **Final answer:** $$\boxed{1}$$