Discuss the continuity of `f(x)=sin|x|` .

Explanation

`f(x)=sin |x|`



Let a be any real number.


Now, LHL at ` {x}= {a}`,



`lim _{x -> a^{-}} f(x)=lim _{h -> 0} f(a-h)=lim _{h -> 0} sin |a-h|=sin |a|`



RHL at `x=a`,


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