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In this video, the tutorial focuses on calculating the sum of logarithms of n cubed minus 1 divided by n squared plus 1 from n equals 2 to infinity. The speaker mentions that the series converges using the integral test but skips the proof. To evaluate the sum, they rewrite it as the difference of two logarithms, factorizing n cube minus 1 and n cubed plus 1. They split the logarithms further into different terms and factorize them to simplify the expression. The tutorial then splits the sum into two separate summations to handle the calculation.
