当n→无穷,3^1/2+1/4+1/8+……+1/2^n-1的极限是多少?我知道是3，

极限运算：lim{[2^(2n+1)-8]/[4^(n+1)+3^n]}当n趋向正无穷, (n+2)^3/(n+1)^4的极限(当n趋向于无穷) (2^n+4^n+6^n+8^n)^(1/n)当n趋于无穷时的极限 (n-1/n+3)的2n次方当n趋于无穷时的极限 {[(1+n)(2+n)(3+n)……(n+n)]^(1/n)}/n当趋向正无穷 求其极限 求limn→无穷(1+2^n+3^n+4^n+5^n)^1/n 求当N趋于无穷时,极限N+1/2N-3是多少如题 当n→无穷,3^1/2+1/4+1/8+……+1/2^n-1的极限是多少?我知道是3， lim[(-2)^n+3^n]/[(-2)^(n+1)+3^(n+1)] 当n趋向于无穷时 (5^n+(-2)^n)/(5^(n+1)+(-2)^(n+1))当n趋近无穷,求极限. lim[ln(n+1)]^2/(lnn)^2,当n→无穷时的极限, 证明当n趋向于无穷时数列an=(1*3*5*7*...*2n-1)/(2*4*6*8*...*2n)趋向于0? lim(2^n+3^n)^1 (n趋向无穷) sqrt(1+sqrt(2+sqrt(3+sqrt(4+...sqrt(n))))),当n趋于无穷时,它是否收敛呢? 当n趋向于无穷时,求n^(1/2)*[n^(1/n)-1]的极限 计算数列极限,当N趋向于无穷时,根号下(N^2+4N+5)-(N-1)的极限 ln(2n^2-n+1)-2ln n.当n趋于正无穷是的极限 当n趋于无穷时,tan(π/a+1/n)^n的极限当x趋于无穷时,(x+2)^(x+2)(x+3)^(x+3)/(x+5)^(x+5)的极限 打错了 第一题是当n趋于无穷时,tan(π/4+1/n)^n的极限