For all \[x\in (0,\,1)\] [IIT Screening 2000]

1.	For all \[x\in (0,\,1)\] [IIT Screening 2000]
A.	\[{{e}^{x}}<1+x\]
B.	\[{{\log }_{e}}(1+x)<x\]
C.	\[\sin x>x\]
D.	\[{{\log }_{e}}x>x\]
Answer» C. \[\sin x>x\]

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For all \[x\in (0,\,1)\] [IIT Screening 2000]

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