maths tricky questions ln2=0 (1-1/2+1/3-1/4...=0) correct or wrong

maths tricky questions ln2=0 (1-1/2+1/3-1/4...=0) correct or wrong

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why ln2 = 1 -1/2 + 1/3 -1/4 + 1/5 - 1/6 + ...
why ln2 = 1 -1/2 + 1/3 -1/4 + 1/5 - 1/6 + ...
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why ln2 = 1 -1/2 + 1/3 -1/4 + 1/5 - 1/6 + ...

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