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Test 1
let's assume I = 1-1+1-1+1-1+1-........ then, 1-I = I => 2I = 1 => I = 1/2 Let's assume S = 1-2+3-4+5-6+....... S + S = 1-2+3-4+5-6+7......... 1-2+3-4+5-6.......... = 1-1+1-1+1-1+1...... =>2S = 1/2 =>S = 1/4 Let's assume T = 1+2+3+4+5+6+....... =>S-T = -1*(4+8+12+16+20+24+......) =>S-T = -4T =>S = -3T => 1/4 = -3T =>T = -1/12 => 1+2+3+4+5+6.... = -1/12
Do you know 1+2+3+5+........ = -1/12 ? See the next post for the proof.
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