6. Determine whether the series is convergent or divergent. a) ( sum_{n=1}^{infty} rac{1}{6+sqrt[n]{n^{4}}} ) b) ( sum_{n=1}^{infty} ln left(rac{2 n^{5}+n}{7 n^{5}+3} ight) ) c) ( sum_{n=1}^{infty} rac{5^{n}}{1+7left(5^{n} ight)} ) d) ( sum_{n=1}^{infty} anh (n) ) e) ( sum_{n=6}^{infty} rac{n !}{70^{n}} ) f) ( sum_{n=1}^{infty}left(rac{9}{5} ight)^{n} )

6. Determine whether the series is convergent or divergent. 8 1 a) 2n5+nv n=1 6+ n b) in 7n5 +34 n=1 5" ) 1+7(5") d) 2 tanh(n) e) n=6 n! 70" (3) 71