(1)/(1times2)+(1)/(2times3)+(1)/(3times4)+...

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[1+(1)/(1times2)+(1)/(1times2times4)+(1)/(1times2times4times8)+(1)/(1times2times4times8times16)]

Evaluate the value 3^((1)/(2))times3^((1)/(4))times3^((1)/(3)) ........ .Infinite terms

Complete : ( 1/2 times 1/3 ) times 1/5 = 1/2 times ( 1/3 times .... )

3^(-1)times2^(-1)times6=

((1)/(3)times(2)/(9))/((1)/(3)times(1)/(5)+(1)/(3)times(1)/(3)+(1)/(3)times(2)/(9))

1+(1)/(4)+(1times3)/(4times8)+(1times3times5)/(4times8times12)=

((4)/(9))^(-2)times((1)/(4))^(-2)times(1)/(3^(-2))times((17)/(18))^(0)

[(1)/(4)+(1times3)/(4times8)+(1times3times5)/(4times8times12)]=

[((3)/(4))^(3)]-:((3)/(4))^(2)times((1)/(3))^(-2)times3^(-1)times((1)/(6))^(-1)