(Step-by-Step) Determine whether ∑limits_n=1^∞ (n+1)/(3n^2)+3n+2 ∑limits_n=1^∞ (n^n)/(n!) ∑limits_n=1^∞ (x^n)/(n^2), with xin


Question: Determine whether

  1. \(\sum\limits_{n=1}^{\infty }{\frac{n+1}{3{{n}^{2}}+3n+2}}\)
  2. \(\sum\limits_{n=1}^{\infty }{\frac{{{n}^{n}}}{n!}}\)
  3. \(\sum\limits_{n=1}^{\infty }{\frac{{{x}^{n}}}{{{n}^{2}}}}\), with \(x\in R\)

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