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Home » Since \(x^2 + y^2 + z^2 = 1\), we have: - High Altitude Science

Since \(x^2 + y^2 + z^2 = 1\), we have: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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#### \( x = 3, x = -1 \)
Find the limit as \( x \) approaches 2 of the function \( f(x) = rac{...
The function is \( f(x) = rac{x^2 - 4}{x - 2} \). Notice that the num...
\[ x^2 - 4 = (x - 2)(x + 2) \]
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:
\[ \lim_{x o 2} f(x) = \lim_{x o 2} (x + 2) = 2 + 2 = 4 \]

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