分类：教育/科学-学习帮助
问题：1/2+1/4+1/6+1/8+1/16+1/32....1/2? 
回答：原式=1 / 2 + 1/4 + 1/6 + 1/8+ 1/ 1 6 + 1 / 32....1/2^100
=1/2+1/4+1/6+1/8+1/16+1/32....1/2^100+1/2^100-1/2^100
=1/2+1/4+1/6+1/8+1/16+1/32....1/2^99-1/2^100
=1/2+1/4+1/6+1/8+1/16+1/32....1/2^98-1/2^100
=1/2+1/4+1/6+1/8+1/16+1/32....1/2^99-1/2^100
=1/2+1/4+1/6+1/8+1/16+1/32+1/2^32-1/2^100
=1/2+1/4+1/6+1/8+1/16+1/16-1/2^100
=1/2+1/2-1/2^100
=1-1/2^100