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Those infinite small steps (Posted on 2006-10-03) Difficulty: 2 of 5
Show that 1+1/2+1/3+1/4+...is infinite.

No Solution Yet Submitted by Art M    
Rating: 3.6667 (3 votes)

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Solution The classic one | Comment 6 of 8 |
This is the one I learnt in High School or whereabouts...

1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+...

is less than

1+1/2+1/4+1/4+1/8+1/8+1/8+1/8+...

that equals

1+1/2+2/4+4/8+...= 1+1/2+1/2+1/2+...

  Posted by Federico Kereki on 2006-10-03 16:50:25
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