An algebra problem by oluwadamilare prosper Adebola
Algebra
Level
2
Which of the following does equal to?
0.9
0.5
.... Infinity
1
0.10
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.999999999.... = 9/10 + 9/10^2 + 9/10^3 + ... = (9/10) (1 + .1 + .1^2 + .1^3+...) = .9 (1/(1-.1)) = .9/.9 = 1. The third equality follows by summing the geometric series.