explain and show all work and steps please and do all of them please. DISCUSSION $-$ So Which Method Should We Use? $($Part $2)$

Test" banner splashed across the top of our screen.

following sums, briefly explain why the given method will not work and give a recommendation for a better method to try $($along with your reasoning for picking that other method$).$

Hopefully this will help your friend $($and you!$)$ get a better of idea of what tests to use for which series!

You do not have to actually apply the test$($s$)/($r$)$each a conclusion about if these series converge or diverge. Just explain why the given method won't work and what method you would try instead $($and why'$)$

$\backslash$sum$\_($n$=1)^(\backslash$infty $)(4$n$+1)/(4$n$^(2)-3)$

Friend's Method: Ratio Test

$\backslash$sum$\_($n$=1)^(\backslash$infty $)(2$n$-1)/($n$+2)$

Friend's Method: Integral Test

$\backslash$sum$\_($n$=1)^(\backslash$infty $)(-$n$)/($n$^(2)+1)$

Friend's Method: Alternating Series Test