Proof that the Absolute Value Function is Not Differentiable at Zero

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Proof that the Absolute Value Function is Not Differentiable at Zero
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Sir does this mean that if we have a vecotr equation i.e F(t) = |t| and we have to find continuity the, the given function is continuos for all values of t except t=0 ?? im really too dumb to understand the video also mind the grammer mistakes plx reply "))

saiphislam
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Without doing by cases, couldn't you just proof it by epsilon and delta? My prof did it but i just can't find anything on Google. 

FatSongProduction
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how do i proof that it is continues at c=0 ???

plz i rly need this

syriansanimeII