lim(n→oo)(1/2+1/2^2+……+1/2^n)

lim(n→oo)(1/2+1/2^2+……+1/2^n) lim 4n^2+2/3n^2+1 (n→oo)lim (√（n+1）- √（n）) (n→oo)lim √x+△x - √x / △x (△x→0)lim 1+2+…+n / n^2 (n→oo) lim(2/2*3*4+2/3*4*5+...2/(n+1)(n+2)(n+3)) n→oo 极限lim(n->oo) n[ln(2+1/n)-ln2] 怎样算?貌似要用导数的?.极限lim(n->oo) n[ln(2+1/n)-ln2]怎样算?貌似要用导数的?. lim x(x+2)/x^2 (x→oo)lim 1/sin(x-2) (x→2) 化简并求值：(m+n)^2+(m+n)(m-3n)其中m=√2,n=1o(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo(╯□╰)oo( lim(n→oo)(3^n/n)^1/n的值是什么 lim(n→oo)√n(√n+1-√n) lim (1+1/2+1/4+…+1/2^n) / (1+1/3+1/9+…+1/3^n) (n→oo)lim (x^n)-1/x-1 (x→1)lim ((1/x+1)-(3/x^3 +1)) (x→-1) 用数列极限的定义证明lim n^(1/n)=1lim n^(1/n)=1 （n→+oo） 求lim n→∞ (1+2/n)^n+3 lim(n→∞)[1-(2n/n+3)] lim(n→∞)(2n-1/n+3) lim(1-1/n)^(n^2)=? lim(1-1/n^2)^n=? lim（n→∞) （(2n!/n!*n)^1/n的极限用定积分求是lim（n→∞) 1/n(2n!/n!)^1/n 不好意思 lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ lim(x→0)(n/(n+1)^2)能用洛必达求吗?