Is the Function x->|x| Differentiable at 0?

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losin
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I want to show x->abs(x) is not differentiable at 0

Some techniques in analysis are required... how should i do?
 
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Calculate left and right limit of the difference quotient. If the function were differentiable, these would coincide, but they don't.
 
More basically ... use the definition of derivative.
 

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