讨f'(x)在x=0处的连续性

讨f'(x)在x=0处的连续性第八题第八题第八题

lim(x->0)f(x)
=lim(x->0)|x|
=0
=f(0)

连续;

f'+(0)=lim(x->0+)|x|/x=lim(x->0+)x/x=1
f'-(0)=lim(x->0-)|x|/x=lim(x->0-)-x/x=-1
f'+(0)≠f'-(0)

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