A) \[(-\infty ,\,\infty )\]
B) \[(0,\,\infty )\]
C) \[(-\infty ,\,\,0)\]
D) \[(-\infty ,\,\,0)\cup (0,\,\infty )\]
Correct Answer: D
Solution :
\[f(x)={{e}^{x}}-x-1\] \[f'(x)=({{e}^{x}}-1)\] Also, \[f(0)=0\] Sign \[f'(x)\] Clearly,\[{{e}^{x}}>1+x\forall x\in (-\infty ,\,\,0)\cup (0,\,\,\infty )\]
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