Consider the following series.n =1(1)n +1n4|error|<0.00005Show that the series is convergent.Since this series is ---Select--- a harmonic series an alternating series a power series a binomial series , which condition(s) below show that it converges? (Select all that apply.)limn1n4=01(n +1)4>1n4limn1(n +1)4=01(n +1)4<1n4How many terms of the series do we need to add in order to find the sum to the indicated accuracy?terms