SCalcET$911.$XP$\mathrm{.}5\mathrm{.}014.$MI$.$ Test the series for convergence or divergence. $\backslash$infty $(1)$n n$4$n n $=1$ Identify bn$.$ Incorrect: Your answer is incorrect. Check the plus and minus signs of all terms and$/$or values. Evaluate the following limit$.$ lim n $->\backslash$infty bn Correct: Your answer is correct. Awesome job! Since lim n $->\backslash$infty bn Correct: Your answer is correct. $0$ and bn $1$ Changed: Your submitted answer was incorrect. Your current answer has not been submitted. bn for all n$,$ Correct: Your answer is correct. $.$ If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than $0\mathrm{.}0001.($If the quantity diverges, enter DIVERGES.$)$ Incorrect: Your answer is incorrect. terms