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Hasil dari $sum from n equals 1 to 5 of open parentheses 1 over n minus fraction numerator 1 over denominator n plus 1 end fraction close parentheses equals$

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$sum from n equals 1 to 5 of open parentheses 1 over n minus fraction numerator 1 over denominator n plus 1 end fraction close parentheses equals open parentheses 1 over 1 minus fraction numerator 1 over denominator 1 plus 1 end fraction close parentheses plus open parentheses 1 half minus fraction numerator 1 over denominator 2 plus 1 end fraction close parentheses plus open parentheses 1 third minus fraction numerator 1 over denominator 3 plus 1 end fraction close parentheses plus open parentheses 1 fourth minus fraction numerator 1 over denominator 4 plus 1 end fraction close parentheses plus open parentheses 1 fifth minus fraction numerator 1 over denominator 5 plus 1 end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses 1 over 1 minus 1 half close parentheses plus open parentheses 1 half minus 1 third close parentheses plus open parentheses 1 third minus 1 fourth close parentheses plus open parentheses 1 fourth minus 1 fifth close parentheses plus open parentheses 1 fifth minus 1 over 6 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 minus 1 half plus 1 half minus 1 third plus 1 third minus 1 fourth plus 1 fourth minus 1 fifth plus 1 fifth minus 1 over 6 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 minus 1 over 6 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 5 over 6$

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