确定a和b的值使函数连续

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确定a和b的值使函数连续
确定a和b的值使函数连续
 

确定a和b的值使函数连续

∵连续
∴limx->0-f(x) =f(0)=limx->0+ f(x)
∴limx->0-f(x)
limx->0- ln(1-3x)/bx (0/0型,用洛必达)
=limx->0- 1/(1-3x) *(-3) / b
=limx->0- 3/b(3x-1)
=-3/b=f(0)=2
b=-3/2
limx->0+ f(x)
=limx->0+ sinax/x
=limx->0+ asinax/ax
=alimx->0+ sinax/ax
=a=f(0)=2