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

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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