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\text { 5.) a.) } \sum_{n=1}^{\infty} \frac{1}{n+n \cos ^{2} n} \text { b.) } \sum_{n=1}^{\infty} \frac{1}{n \ln n \ln (\ln n)} \text { 5c.) } \sum_{k=1}^{\infty} \frac{n !}{n^{n}} \text {

5d.) } \sum_{n=1}^{\infty} \frac{n^{2}-5 n}{n^{3}+n+1}

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