A) \[0\]
B) \[1\]
C) \[2\]
D) infinite
Correct Answer: C
Solution :
[c] \[f(x)={{\sec }^{-1}}x+\cos e{{c}^{-1}}x+\sqrt{4-{{x}^{2}}}+{{\log }_{e}}x\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\left| x \right|\ge 1\] and \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\left| x \right|\le 2\] and \[x>0\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,1\le \left| x \right|\le 2\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,x\in [1,2]\]
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