请教一题算极限的高数lim(1+1/2+1/4+……+1/2n-) n趋向于无穷大,n-表示2的n次方,
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![请教一题算极限的高数lim(1+1/2+1/4+……+1/2n-) n趋向于无穷大,n-表示2的n次方,](/uploads/image/z/7242181-61-1.jpg?t=%E8%AF%B7%E6%95%99%E4%B8%80%E9%A2%98%E7%AE%97%E6%9E%81%E9%99%90%E7%9A%84%E9%AB%98%E6%95%B0lim%281%2B1%2F2%2B1%2F4%2B%E2%80%A6%E2%80%A6%2B1%2F2n-%29+n%E8%B6%8B%E5%90%91%E4%BA%8E%E6%97%A0%E7%A9%B7%E5%A4%A7%2Cn-%E8%A1%A8%E7%A4%BA2%E7%9A%84n%E6%AC%A1%E6%96%B9%2C)
请教一题算极限的高数lim(1+1/2+1/4+……+1/2n-) n趋向于无穷大,n-表示2的n次方,
请教一题算极限的高数
lim(1+1/2+1/4+……+1/2n-) n趋向于无穷大,n-表示2的n次方,
请教一题算极限的高数lim(1+1/2+1/4+……+1/2n-) n趋向于无穷大,n-表示2的n次方,
等比数列求和
原式=lim((1-(1/2)^n)/(1-1/2))=1/(1/2)=2