GATE 2016 CS – Question 13
$\lim_{x \to 4} \frac{\sin(x - 4)}{x - 4} =$ ________.
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Correct answer: 1
Explanation
Let $t = x - 4$. As $x \to 4$, $t \to 0$, and $\lim_{t \to 0} \frac{\sin t}{t} = 1$.