lim(x->1)(x^(n)-1)/x-1)=?n为正整数,怎么算得,

lim x^n=?(x->1+) lim x^n=?(x->1-)n->无穷 n-> 无穷 lim(cos1/n)^n^2 n->∞lim (1+|x|)^1/x x->0 lim （n趋向无穷）（x/1+x)x次方 lim(n-∞)﹙x²／x²-1﹚lim(n-∞)[x²／x²-1﹚]^x 求极限lim [x^(n+1)-(n+1)x+n]/(x-1)^2 x趋于1 求lim[ x^(n+1)-(n+1)x+n]/(x-1)^2 x-->1 lim(根号（x平方+x+1）+x)lim底下是n趋近于负无穷大. f(X+1)=lim(n-无穷）（n+x)/n-2)n 求f(x) lim[n→∞] (x^n+1)^(1/n) 求极限Lim（(n-x)/(n+2))^(n+1) 判断极限是否存在lim [n+(-1)^n]/n n趋向于无穷 lim |x|/x x趋向于0 lim(n→1)sin(1-x)/(x^3-1) 1、lim(x->无穷大) e^x arctanx2、lim(x->0)sinx√1+sin(1/x)3、lim(x->无穷大)【（√x^2+x+1）-【(√x^2-x+1)】4、lim(x->无穷大)((x+{x+(x)^0.5]^0.5}^0.5)/(2x+1)^0.55、lim(x->0)(sin3x+x^2sin1/x)/((1+cosx)x)6、lim(n->无穷大)(2^n)(si 求lim(x->&无穷)sinn/n,求lim(x->无穷)sin(1/n) lim（x+x^2+……+x^n-n）/(x-1) 求lim(x趋向于1）（x+x^2+x^3+...+x^n－n)/(x－1) 求lim(x趋向于1）（x+x^2+x^3+...+x^n－n)/(x－1) lim(x→0)(n/(n+1)^2)能用洛必达求吗?