$($Mainly need help with b and c$.)$ Question $3.$ For each series, determine whether it converges, and show, in detail, how you know. For each convergent series, compute the $6^{th}$ partial sum to $6$ places after the decimal $($use some sort of gadgetry, obviously; describe what equipment you used and how you generated your approximation$),$ and give a bound for the remainder $($i$.$e$.$ give an error bound when approximating $s$ by $s_6).$

a$){\displaystyle \underset{n=1}{\overset{}{}}}\frac{n^2-1}{3n^2+2n+4}$

b$){\displaystyle \underset{k=1}{\overset{x}{}}}\frac{1}{k\sqrt[\phantom{2}]{k^2+1}}$

c$){\displaystyle \underset{q=1}{\overset{}{}}}\frac{ln(q)}{q^2}$