Question:
Evaluate \( \lim_{x \to 2} \frac{\sqrt{x+7} - 3}{\sqrt{x-3} - 2} \):
Evaluate \( \lim_{x \to 2} \frac{\sqrt{x+7} - 3}{\sqrt{x-3} - 2} \):
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For indeterminate forms like \( \frac{0}{0} \), multiplying by conjugates helps simplify the expression and evaluate the limit.
Updated On: Jan 12, 2026
- \( \frac{17}{9} \)
- \( \frac{17}{18} \)
- \( \frac{34}{23} \)
- \( \frac{26}{7} \)
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The Correct Option is A
Solution and Explanation
Use the technique of multiplying both numerator and denominator by their conjugates to simplify the expression and evaluate the limit.
Final Answer: \[ \boxed{\frac{17}{9}} \]
Final Answer: \[ \boxed{\frac{17}{9}} \]
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