Why is the sum of 1 + 1/2 + 1/3 + 1/4 ••• = infinity while the sum of similar series like e^x , ln (1+x) or infinite gp of common ratio 1/2 gives us an appropriate value

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Why is the sum of 1 + 1/2 + 1/3 + 1/4 ••• = infinity while the sum of similar series like e^x , ln (1+x) or infinite gp of common ratio 1/2 gives us an appropriate value

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