Please show me how to do the last part. Thank you

Test the series for convergence or divergence. 5 ( - 1 )2 n7n Identify bn. Evaluate the following limit. lim bn n - 00 O Since lim b 3 = 0 and Dn + 1 |4 s bn for all n, 5 the series is convergent n - 0 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 0.0001? (If the quantity diverges, enter DIVERGES.) X