Discuss the continuity of the `f(x)` at the indicated point: `f(x)=|x-1|+|x+1|` at `x= 1.`

Explanation

Now,

LHL at `x=1`


`lim_(x→1−)​f(x)=lim_(h→0)​f(1−h)=lim_(h→0)​[∣(1−h)−1∣+∣(1−h)+1∣]=0+2=2`


RHL at `x=1`


`lim_(x→1+)​f(x)=lim_(h→0)​f(1+h)=lim_(h→0)​[∣(1+h)−1∣+∣(1+h)+1∣]=0+2=2`
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