For each $$x \in R$$, let $$[x]$$ be the greatest integer less than or equal to $$x$$. Then $$\lim_{x \to 0^{-}} \frac{x([x] + |x|)\sin[x]}{|x|}$$ is equal to:

Name: For each x \\in R, let [x] be the greatest integer less than or equal to x. Then \\lim_{x \\to 0^{-}} \\frac{x([x] + |x|)\\sin[x]}{|x|} is equal to:
Uploaded: 2026-06-14T10:40:33.183197+05:30
Duration: 1 min 59 s
Description: For each x \\in R, let [x] be the greatest integer less than or equal to x. Then \\lim_{x \\to 0^{-}} \\frac{x([x] + |x|)\\sin[x]}{|x|} is equal to: