Limits + Summation = Fun

Calculus Level 5

\(\displaystyle\lim _{ x\rightarrow \infty }{ \sum _{ n=1 }^{ x }{ \left\{ \frac { x }{ n } \right\} } =A-B\gamma } \)

the equation above holds true for positive integers \(A,B\) find \(A+B\)

Note:\(\{\}\) denotes the fractional part

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