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OpenStudy (anonymous):
Expressed this in fraction. .090909090909........
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OpenStudy (anonymous):
this is: \[\frac{9}{100}+\frac{9}{10000}+\frac{9}{1000000}\cdots\] First term is 9/100, r = 1/100 Use the formula for the sum of an infinite series.
OpenStudy (anonymous):
so, what is the final asnwer?
OpenStudy (anonymous):
I doubt alfers knows Calc II, joe. The more basic way: x = 0.09... 100x = 9.09... - x = 0.09... ------------ 99x = 9 x = 9/99 = 1/11.
OpenStudy (anonymous):
yeah! thank u so much. i remember now. =] thank u!!
OpenStudy (anonymous):
1/11
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