Use the Integral Test to Determine Whether the Infinite Series $\sum _ { k = 2 } ^ { \infty } \frac { 2 } { 2 k + 1 }$

Short Answer

Use the integral test to determine whether the infinite series $\sum _ { k = 2 } ^ { \infty } \frac { 2 } { 2 k + 1 }$ is convergent or divergent. Then use the comparison test to determine whether the infinite series $\sum _ { \mathrm { k } = 1 } ^ { \infty } \frac { 4 } { \mathrm { k } + 1 }$ is convergent or divergent.
Enter just two words which answer the two questions above in order (separated by a comma) where each word is either "convergent" or "divergent".