a$)$ Does the sequence $\{\frac{3k+1}{4k+2}\}$ converge or diverge? If the sequence converges, find the elsact value it converges to$.$

b$)$ Does the series ${\displaystyle \underset{k=1}{\overset{}{}}}\frac{3k+1}{4k+2}$ converge or diverge? Explain why or why not.

c$)$ Does the sequence $\{\frac{1}{\sqrt[\phantom{2}]{k}}\}$ converge or diverge? If the sequence converges, find the exact value it converges to$.$

d$)$ Does the series ${\displaystyle \underset{k=1}{\overset{}{}}}\frac{1}{\sqrt[\phantom{2}]{k}}$ converge or diverge? Explain why or why not.