GATE 2021 CS – Question 30
Consider the following expression.
$\lim_{x \to -3} \frac{\sqrt{2x+22}-4}{x+3}$
The value of the above expression (rounded to 2 decimal places) is ______.
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Show answer and explanation
Correct answer: 0.25
Explanation
The form is 0/0. By L'Hopital, the limit is $\frac{1}{\sqrt{2x+22}}$ at $x=-3$, which is $1/4 = 0.25$.