设f(x)在点x.=0处可导,且f(0)=0及f’(0)=3,则lim(x→∞)[f(x)/x]的值( )
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![设f(x)在点x.=0处可导,且f(0)=0及f’(0)=3,则lim(x→∞)[f(x)/x]的值( )](/uploads/image/z/7108300-28-0.jpg?t=%E8%AE%BEf%28x%29%E5%9C%A8%E7%82%B9x.%3D0%E5%A4%84%E5%8F%AF%E5%AF%BC%2C%E4%B8%94f%EF%BC%880%EF%BC%89%3D0%E5%8F%8Af%E2%80%99%EF%BC%880%EF%BC%89%3D3%2C%E5%88%99lim%28x%E2%86%92%E2%88%9E%29%5Bf%28x%29%2Fx%5D%E7%9A%84%E5%80%BC%EF%BC%88+%EF%BC%89)
设f(x)在点x.=0处可导,且f(0)=0及f’(0)=3,则lim(x→∞)[f(x)/x]的值( )
设f(x)在点x.=0处可导,且f(0)=0及f’(0)=3,则lim(x→∞)[f(x)/x]的值( )
设f(x)在点x.=0处可导,且f(0)=0及f’(0)=3,则lim(x→∞)[f(x)/x]的值( )
这一题主要是利用导数的定义.
f(x)/x=f(x)-0/x-0=f(x)-f(0)/x-0=f'(0)=3
则lim(x→∞)[f(x)/x]=3