A) \[(0,\infty )\]
B) \[(-\infty ,0)\]
C) \[(1,\infty )\]
D) \[(-\infty ,-1)\]
Correct Answer: B
Solution :
We have, \[f(x)=x-{{e}^{x}}+\tan \left( \frac{2\pi }{7} \right)\] \[\Rightarrow \] \[f(x)=1-{{e}^{x}}\] For\[f(x)\]to be increasing, we must have \[f(x)>0\Rightarrow 1-{{e}^{x}}>0\Rightarrow {{e}^{x}}<1\] \[\Rightarrow \] \[x<0\]\[\Rightarrow \] \[x\in (-\infty ,0)\]You need to login to perform this action.
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