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(7^(1/5))/(7^(1/3))...

(7^(1/5))/(7^(1/3))

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(1)/(5)+(1)/(3.5^(3))+(1)/(5.5^(5))+(1)/(7.5^(7))+....=

Assertion (A) : (1)/(5)+(1)/(3.5^(3))+(1)/(5.5^(5))+(1)/(7.5^(7))+…(1)/(2)log((3)/(2)) Reason (R ) : If |x| lt 1 then log_(e )((1+x)/(1-x))=2(x+(x^(3))/(3)+(x^(5))/(5)+…)

(1)/(3)+(1)/(3.3^(3))+(1)/(5.3^(5))+(1)/(7.3^(7))+....=

The value of: [(5/7 " of " 1 (3)/(8) " of " 6/7)] div [1-(1)/(7) xx ( 5/12 +(1)/(3)) ] xx ((1)/(7) -(1)/(9))/((1)/(7) +(1)/(9))

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

((3^(-1)7^(2))/(3^(3)7^(-4)))/((3^(3)7^(-5))/(2^(-2)7^(3)))

(48)^(-(2)/(7))xx(16)^(-(5)/(7))xx(3)^(-(5)/(7))=?(1)/(3) b.(1)/(48)c1d.48

The greatest of the numbers 2(1)/(2),3^((1)/(3)),4^((1)/(4)),5^((1)/(5)),6^((1)/(6)) and 7^((1)/(7)) is