MCQ
The function $\text{f(x)}=1+|\cos\text{x}|$ is:
- AContinuous no where.
- ✓Continuous everywhere.
- CNot differentiable at $x = 0$
- DNot differentiable at $\text{x}=\text{n}\pi,\text{n}\in\text{Z}.$
✓
Answer
Correct option: B.
Continuous everywhere.
Graph of the function $\text{f(x)}=1+|\cos\text{x}|$ is as show blow:
From the graph, we can see that$ f(x)$ is everywhere continuous but not differentiable at $\text{x}=(2\text{n}+1)\frac{\pi}{2},\text{n}\in\text{Z}.$
From the graph, we can see that$ f(x)$ is everywhere continuous but not differentiable at $\text{x}=(2\text{n}+1)\frac{\pi}{2},\text{n}\in\text{Z}.$
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