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[" 6.Prove that: "],[qquad 2^((1)/(4))ti...

[" 6.Prove that: "],[qquad 2^((1)/(4))times4^((1)/(8))times8^((1)/(16))times16^((1)/(32))times......+0oo=2]

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Show that 2^((1)/(4))xx4^((1)/(8))xx8^((1)/(16))xx16^((1)/(32))xx.... oo=2.

Prove that: 2^((1)/(4)).4^((1)/(8)),8^((1)/(16))*16^((1)/(32)).........oo=2

((7)/(3))^(-3)times((9)/(4))^(0)times8^(-2)times((1)/(7))^(-1)

(8^(1/3)times16^(1/3))/((32)^(-(1)/(3)))

(5)/(8)+(1)/(2)times((5)/(8)-(6)/(16))=

(6^(3)times7^(4)times8^(5))/(4^(3)times9^(2)times16)

2.4^((-1)/(4))*8^((1)/(9))*16^((-1)/(16))*32^((1)/(25))*64^((-1)/(36))*……….oo=

2.4^((-1)/(4))*8^((1)/(9))*16^((-1)/(16))*32^((1)/(25))*64^((-1)/(36))*……….oo=

Show ((-8)/(7))times[(1)/(2)times((-4)/(3))]=[((-8)/(7))times(1)/(2)]times((-4)/(3))

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