Find the value of 1/10+1/100+1/1000+1/10000+...

Leave your answer as a fraction

1 answer

you have a geometric series
with
a = 1/10 and r = 1/10

sum(∞ = a/(1-r)
= (1/10) / (9/10)
= (1/10)(10/9) = 1/9
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