Subjects calculus

Limit Approach

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Limit Approach


1. State the problem: Find the limit $$\lim_{x \to 7} (2x + 2)$$. 2. Since the function $2x + 2$ is a polynomial (which is continuous everywhere), the limit as $x$ approaches 7 is simply the value of the function at $x = 7$. 3. Substitute $x = 7$ into the function: $$2 \times 7 + 2 = 14 + 2 = 16$$ 4. Therefore, $$\lim_{x \to 7} (2x + 2) = 16$$. Final answer: $16$