(8pt) The following sequence come from the recursion formula for Newton's Method, ANSWER ALL THE QUESTIONS AND SHOW ALL THE WORKxn+1=xn-f(xn)f'(xn)Does the sequence converge or diverge? Ifit does converge, to what exact value? Enter NONE if the sequencediverges. Begin by identifying the function f that generates the sequence. Write out all the digits yourcalculator displays.x0=1,xn+1=xn-cotx-1-csc2x;,f(x)=x1=,x2=,x4=x3=,Thus, we see that the sequenceIfit does converge, to what exact valueisit converging!(3pt)Do you agree with the following statement? Why or why not? Give reasons for your answer.Iflimnan=0 and limnbn=, then limnanbn=0.(3pt)Do you agree with the following statement? Why or why not? Give reasons for your answer.If both ??an and ??(-an) converge, then ??|an| converges.(3pt) You delete a finite number of terms from a divergent series. Will the new series still diverge? Explainyour reasoning.