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Hitunglah:

Hitunglah: begin mathsize 14px style sum from i equals 1 to 6 of space open parentheses 1 over i minus fraction numerator 1 over denominator i plus 1 end fraction close parentheses end style 

  1. undefined 

  2. undefined

Jawaban:

begin mathsize 14px style sum from i equals 1 to 6 of space open parentheses 1 over i minus fraction numerator 1 over denominator i plus 1 end fraction close parentheses end style

begin mathsize 14px style 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 plus open parentheses 1 over 6 minus 1 over 7 close parentheses equals 1 over 1 minus 1 over 7 equals 7 over 7 minus 1 over 7 equals 6 over 7 end style 

 

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