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Asked by Topperlearning User 26th September 2017, 9:16 AM
Answered by Expert
Answer:

begin mathsize 12px style 0.4 37 with bar on top space equals space 0.4373737....... infinity
equals space 0.4 space plus space 0.037 space plus space 0.00037 space plus..... infinity
equals 4 over 10 space plus space fraction numerator 37 over denominator 10 cubed space end fraction space plus space 37 over 10 to the power of 5 space plus space fraction numerator 37 over denominator 10 to the power of 7 space end fraction space plus space..... infinity
equals 4 over 10 space plus space fraction numerator begin display style 37 over 10 cubed end style over denominator 1 space minus space begin display style 1 over 10 squared end style end fraction
equals 4 over 10 space plus space 37 over 1000 cross times 100 over 99
equals fraction numerator 396 space plus space 37 over denominator 990 end fraction
equals 433 over 990 end style

Answered by Expert 26th September 2017, 11:16 AM
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