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JEE Main 2019 · 10 Jan · Shift I

JEE Main 2019 Mathematics question on Limits Continuity and Differentiability

For each t∈Rt \in R, let [t][t] be the greatest integer less than or equal to tt. Then,
lim⁡x→1+(1−∣x∣+sin⁡∣1−x∣)sin⁡(π2[1−x])∣1−x∣[1−x]\lim_{x \to 1^+} \frac{(1-|x|+\sin|1-x|)\sin\left(\frac{\pi}{2}[1-x]\right)}{|1-x|[1-x]}
  1. A.
    equals 0
  2. B.
    does not exist
  3. C.
    equals −1-1
  4. D.
    equals 1
Show answer

Correct option: A

[JEE Main 2019 · 10 Jan · Shift I]

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