GATE Overflow | Mock GATE | Test 1 | Question: 19

Question

Evaluate the limit:
$$ \lim_{x \to -3} \frac{\sqrt{2x+22}-4}{x+3}$$

• A. $\frac{1}{2}$
  
• B. $\frac{1}{4}$
  
• C. $\frac{1}{8}$
  
• D. $\frac{1}{16}$

Comments

b )

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Sir, do we apply L'Hospital? can u tell approach?

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yes you can apply L'hospital

Answer 1

We can do it by rationalising

Answer 2

.