Find the points of discontinuity, if any, of the following function: `f(x)={2x\ \ \ ,\ \ \ if\ x<0 0\ \ \ ,\ \ \ if\ 0lt=xlt=1 4x\ \ \ ,\ \ \ if\ x >1`

Explanation

Case I:


If `c<0`, then `f(c)=2 c`



`lim _{x -> c}=lim _{x -> c}(c)=2 c `


`therefore lim _{N -> infty} f(x)=f(c)`



Therefore, `f` is continuous at all points `x`, such that `x<0`


Case II:


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