Question

Let $\large{f(r) = \sum\limit_{j=2}^{2008} {\frac{1}{j}} + {\frac{1}{{2}^{r}}} + {\frac{1}{{3}^{r}}} ........ +{\frac{1}{{2008}^{r}}}}$


Find $\huge{\displaystyle{\sum\limit{k=2}{\infty}} {f(k)}$​

Answer 1

Answer:

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