Discuss the continuity of the function `f(x)` given by `f(x)={2x-1,ifx<0 and 2x+1,ifxgeq0`

Explanation

Given,

`f(x)={
2x−1,x`<`0`

`2x+1,x\geq 0`

LHL at` x=0`,

`lim_(x->0^-) f(x)= lim_(h->0)f(0−h)=lim_(h->0)f(−h)`

`implies lim_(h->0)2(−h)−1=−1`

RHL at `x=0`,

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