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El área \( A \) del círculo es: - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Find the limit as \( x \) approaches 2 of the function \( f(x) = rac{x^2 - 4}{x - 2} \).

📌 The function is \( f(x) = rac{x^2 - 4}{x - 2} \). Notice that the numerator can be factored:

📌 \[ x^2 - 4 = (x - 2)(x + 2) \]

📌 Thus, the function becomes:

📌 \[ f(x) = rac{(x - 2)(x + 2)}{x - 2} \]

📌 eq 2 \), this simplifies to:

📌 \[ f(x) = x + 2 \]

📌 Now find the limit as \( x \) approaches 2:

🔥 Popular Posts

Now compute $ 45 \mod 9 $:
Question: What is the greatest common divisor of $ 12345 $ and $ 98765...
Solution: Use the Euclidean algorithm:
\gcd(98765, 12345)
Step 1:
= 8 \cdot 12345 + 125, \quad \text{since } 8 \cdot 12345 = 98760
\Rightarrow \gcd(98765, 12345) = \gcd(12345, 125)
Step 2:
= 98 \cdot 125 + 95 \quad \text{since } 98 \cdot 125 = 12250
\Rightarrow \gcd(12345, 125) = \gcd(125, 95)

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