If, S=5–√+55−−√+555−−−√+5555−−−−√, then find EA , correct up to 4 decemal places.
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5+55+555+5555+⋯+55…5n fives
=59(9+99+999+9999+⋯+99…9n nines)
=59(101−1+102−1+103−1+⋯+10n−1)
=59(101+102+103+⋯+10n−n)
=59(10n+1−109−n).
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