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What is 1/10+1/100+1/1000+...?

1/9 Infinity 0 No Answer

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2 solutions

Parveen Soni
Dec 5, 2014

sum of infinite G.P with common ration<1 So sum=first term/(1-c.ratio)
answer=(1/10)/(1-1/10)=(1/10)/(9/10)=1/9

Qian Yu Hang
Dec 5, 2014

1/10=0.1, 1/100=0.01, 1/1000=0.001 and so on. 0.1+0.01+0.001...=0.11111111... which equals to 1/9!

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