Discuss the continuity of `f(x)={2x-1,\ \ \ x<0 2x+1,\ \ \ xgeq0` at `x=0`

Explanation

Given,



`f(x)= 2 x-1, x<0 2 x+1, x geq 0`



LHL at `{x}=0`,



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



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