lim x-1 x+1/2x2-x-1 lim x-0 (x+e的x次方)的1/x次方 lim x-1 x的n次方-1/
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lim(x→1) (x - 1) / (2x² - x - 1)

= lim(x→1) (x-1) / [ (x-1)(2x+1) ]

= lim(x→1) 1 / (2x+1)

= 1/3

lim(x→0) (x+e^x)^(1/x)

= lim(x→0) e^ [ ln(x+e^x) / x ]

= e^ lim(x→0) ln(x+e^x) / x

= e^ lim(x→0) (1+e^x) / (x+e^x) 【罗比达法则】

= e²

lim(x→1) (x^n - 1) / ( x^m - 1 )

= lim(x→1) n x^(n-1) / m x^(m-1) 【罗比达法则】

= n / m