Evaluate the infinite geometric series 0.4+0.12+0.036+0.0108+⋯. Express your answer as a fraction with integer numerator and denominator.
Evaluate the infinite geometric series 0.4+0.12+0.036+0.0108+⋯
a1=0.4q=0.120.40=0.3lim snn→∞=a11−q=0.41−0.3lim snn→∞=s=47=0.¯571428
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