Exams › GATE › Engineering Mathematics

lim_(x→4) sin(x − 4) / (x − 4) = _________.

1. 0
2. 1
3. 4
4. ∞

Correct answer: 1

Solution

As x approaches 4, the expression sin(x - 4) behaves like its argument (x - 4) due to the small angle approximation, leading to the limit being equal to 1.

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