Asked by Topperlearning User | 26th Sep, 2017, 09:29: AM

Expert Answer:

begin mathsize 12px style 0.712 with bar on top space equals space 0.712712712..... infinity
equals space 0.712 space plus space 0.000712 space plus space 0.000000712 space plus space..... infinity
equals space 712 over 10 cubed space plus space 712 over 10 to the power of 6 space plus space 712 over 10 to the power of 9 space plus..... infinity
equals fraction numerator begin display style 712 over 10 cubed end style over denominator 1 space minus space begin display style 1 over 10 cubed end style end fraction
equals fraction numerator 712 over denominator 10 cubed space minus space 1 end fraction
equals 712 over 999 end style

Answered by  | 26th Sep, 2017, 11:29: AM