求F(x)=(X^2-2X+2)/(X-1)的极限
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求F(x)=(X^2-2X+2)/(X-1)的极限
求F(x)=(X^2-2X+2)/(X-1)的极限
求F(x)=(X^2-2X+2)/(X-1)的极限
已知极限[f(x)-1]/(x-1)当x→1时 为1 得到 f'(1) = 1 lim(x=lim1/(f'(2-2x)*(-2)) =lim1/(-2) =-1/2 选C 的
F(x)=(X^2-2X+2)/(X-1)
=(X^2-2X+1+1)/(X-1)
=[(X-1)^2+1]/(X-1)
=(x-1)+[1/(X-1)]
当x-1=1,即x=2时取得最小值
F(2)=1+1=2
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