Test the series below for convergence using the Ratio Test. n! The limit of the ratio test simplifies to lim If(n)| where f (n) = The limit is: (enter oo for infinity if needed) Based on this, the series ConvergesTest the series below for convergence using the Ratio Test. on n + E Z 33\" i 2 111 The limit of the ratio test simplifies to 1.1113 |_f(n}| 1where TI CC m = [:1 [enter 0-0 for infinity.r if needed}: Based on this, the series Select an answerv Test the series below for convergence using the Root Test. OO 7n 5n + 2 n= The limit of the root test simplifies to lim If (n) | where f(n) The limit is: (enter oo for infinity if needed) Based on this, the series O Converges O DivergesTest the series below for convergence using the Root Test. 972 6n + 5 The limit of the root test simplifies to lim If (n)| where 700 f (n) = The limit is: (enter oo for infinity if needed) Based on this, the series O Diverges O Converges\fCompute the first four partial sums $1, ..., $4 for the series having n th term a, starting with n = 1 as follows. On = (-1)0414 S2 = S3 SA =Compute the general term a.\" of the series with the partial sum S = n? n 1'} 1. W If the sequence of partial sums converges, find its limit '3. Otherwise enter DNE. 3: Suppose that E On = 4 and = - 9 and a1 = 8 and b1 = 6 , find the sum of the series: n =1 A. ( - 5an + 5bn) = n=1 CO B. ( - 5an + 5bn) = 1= 2