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 3 years ago
test the differentiability of the function at x=0 F(x)= {x÷x if x≠0 and 0 if x=0
 3 years ago
test the differentiability of the function at x=0 F(x)= {x÷x if x≠0 and 0 if x=0

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suju101
 3 years ago
Best ResponseYou've already chosen the best response.0i actually got that it is undifferentiable becoz left hand derevative is infinity and RHD is +infinity. plz check it and reply soooon.

sam_unleashed
 3 years ago
Best ResponseYou've already chosen the best response.1left handed limit=x/{lxl} =x/x =1 when x<0. right handed limit=x/x=1 when x>0.. so the function is discontinuous at x=0. hence non differentiable at x=0.
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