Consider the following statement.The direct comparison test can be used to show that the first series converges by comparing it to the second series.n=2nn3+5,n=21n2The following is a proposed proof for the statement.We havenn3+51.Son=2nn3+5converges by part (i) of the direct comparison test.Identify the error(s) in the proposed proof. (Select all that apply.)The first sentence should saynn3+5>nn3=1n2instead ofnn3+51], the seriesn=2nn35converges.Identify the error(s) in the proposed proof. (Select all that apply.)The first sentence should say an =nn3+5instead of an =1n35.The first sentence should say bn =1n2instead of bn =n21.The second sentence should say n instead of n.The second sentence should conclude with the statement =1>0 instead of =1<0.The third sentence claims thatn=21n2is convergent when it is really divergent.