若lim(x-0)[(x^2/x+1)-ax-b]=0,求常数a,b应该是lim(x-无穷),打错了
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若lim(x-0)[(x^2/x+1)-ax-b]=0,求常数a,b应该是lim(x-无穷),打错了
若lim(x-0)[(x^2/x+1)-ax-b]=0,求常数a,b
应该是lim(x-无穷),打错了
若lim(x-0)[(x^2/x+1)-ax-b]=0,求常数a,b应该是lim(x-无穷),打错了
lim(x-∞)[(x^2/x+1)-ax-b]
=lim(x-∞)[(x^2 -1+1)/x+1)-ax-b]
=lim(x-∞)[x -1+ 1/(x+1)-ax-b]
=lim(x-∞)[(1-a)x -(1+b)+ 1/(x+1)]
=lim(x-∞)[(1-a)x -(1+b)]
若此极限=0,那么只能有 1-a=0 且 1+b=0
a=1
b= -1
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