已知f'(0)=5,且f(0)=0,求lim(x→0)f(x)/x

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已知f'(0)=5,且f(0)=0,求lim(x→0)f(x)/x
已知f'(0)=5,且f(0)=0,求lim(x→0)f(x)/x

已知f'(0)=5,且f(0)=0,求lim(x→0)f(x)/x
lim(x→0)f(x)/x
=lim(x→0)[f(0+x)-f(0)]/x
=f'(0)=5

J = lim(x→0)f(x)/x -> 0/0 的不定式,用洛必达法则:
J = lim(x→0)f(x)/x = lim(x->0) = f '(0)/1 = 5