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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If f(x)=e[x]+∣x∣−3[x]+∣x∣+1f(x)=\frac{e^{[x]+\mid x \mid}-3}{[x]+|x|+1}, then: (where [.] represents greatest integer function)
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Correct option: A
lim⁡x→0+f(x)=−2\lim \limits_{x \rightarrow 0^{+}} f(x)=-2
Option A is correct because the right-hand limit exists and equals -2, while the left-hand limit does not exist.

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