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If f(x)= ((xe^(-1/|x|+1/x), if, x!=0),(0...

If `f(x)= ((xe^(-1/|x|+1/x), if, x!=0),(0 , if, x=0))`, then f(x) is 1) continuous for all x, but is not differentiable2) neither differentiable nor continuous3) discontinuous everywhere4) continuous as well as differentiable for all x

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