5.2-4

[jingyuhhh]

sum(1/n)=1?

1/n is divergent. Why can it be 1?

[Toby1009]

[Toby1009]

I think the ans is wrong , it should be n*(1/n) = 1

[leverimmy]

From my point of view, the answer is CORRECT. The dummy variable for the summation is $i$ instead of $n$. That is to say, $$1 = \sum{i = 1}^{n}\frac{1}{n} \neq \sum{n = 1}^{\infty}\frac{1}{n}(\text{diverges}).$$ So, summing up $1/n$'s, would yield to the result $1$. @jingyuhhh @Toby1009