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Continuity — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsContinuity2 Marks
MCQ
The function $f (x)=\sin |x|$ is
  • ✓
    Continuous for all x
  • B
    Continuous only at certain points
  • C
    Differentiable at all points
  • D
    None of these
✓

Answer

Correct option: A.
Continuous for all x
(A)
Let $g (x)=|x|$ and $h (x)=\sin x$.
Then, $f (x)=(\operatorname{hog})(x)$ for all $x \in R$.
As both $g$ and $h$ are continuous functions on $R$.
$\therefore \quad f (x)$ is also continuous for all $x \in R$.

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