I found an exercise that talks about calculating the value of a numerical series and we have the following two series of generic terms $$ u_n = \frac{1}{n}\left(\frac{\ln(n)}{n-\ln(n)}\right)\text{ and } v_n = \frac{1}{n!(n^4+n^2+1)} $$ Now we are asked to calculate $$ U = \sum\limits_{k=3}^{+\infty} u_k \text{ and } V = \sum\limits_{k=0}^{+\infty}v_k $$ Um, and I'm really struggling to get started. Can you help me please?
2026-03-29 03:28:17.1774754897
Calculate numerical series
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