求极限lim [x^(n+1)-(n+1)x+n]/(x-1)^2 x趋于1
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解：lim(x->1)(x^(n+1)-(n+1)x+n)/(x-1)^2
=lim(x->1)(x^(n+1)-(n+1)x+n)'/((x-1)^2)'
=lim(x->1)((n+1)x^n-(n+1))/(2(x-1))
=lim(x->1)((n+1)x^n-(n+1))'/(2(x-1))'
=lim(x->1)(n(n+1)x^(n-1))/(2x)
=n(n+1)/2
=lim(x->1)(x^(n+1)-(n+1)x+n)'/((x-1)^2)'
=lim(x->1)((n+1)x^n-(n+1))/(2(x-1))
=lim(x->1)((n+1)x^n-(n+1))'/(2(x-1))'
=lim(x->1)(n(n+1)x^(n-1))/(2x)
=n(n+1)/2
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