For each x ∈ R, let [x] be the greatest integer less than or equal to x. Then \(\underset{x\to {{0}^{-}}}{\mathop{\text{lim}}}\,\frac{x\left( \left[ x \right]+\left| x \right| \right)\text{sin}\left[ x \right]}{\left| x \right|}\) is equal to:

For each x ∈ R, let [x] be the greatest integer less than or equal t

1.	For each x ∈ R, let [x] be the greatest integer less than or equal to x. Then \(\underset{x\to {{0}^{-}}}{\mathop{\text{lim}}}\,\frac{x\left( \left[ x \right]+\left\| x \right\| \right)\text{sin}\left[ x \right]}{\left\| x \right\|}\) is equal to:
A.	- sin 1
B.	1
C.	sin 1
D.	0
Answer» B. 1

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For each x ∈ R, let [x] be the greatest integer less than or equal to x. Then \(\underset{x\to {{0}^{-}}}{\mathop{\text{lim}}}\,\frac{x\left( \left[ x \right]+\left| x \right| \right)\text{sin}\left[ x \right]}{\left| x \right|}\) is equal to:

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