[" The sum "],[sum(k=1)^(oo)(6^(k))/((3^...

[" The sum "],[sum_(k=1)^(oo)(6^(k))/((3^(k)-2^(k))(3^(k+1)-2^(k+1)))=]

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The value of lim_(n rarr oo)sum_(k=1)^(n)(6^(k))/((3^(k)-2^(k))(3^(k+1)-2^(k+1))) is equal to

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