1. Let f(r) 3, for each positive integer n, consider the regular partition 0 o x2

Extracted text: 1. Let f(r) 3, for each positive integer n, consider the regular partition 0 o x2 < -="" *.="">< in-1="">< in="1" of="" 0,="" 1]="" into="" n="" many="" equal-sized="" subintervals.="" denote="" the="" corresponding="" right-hand="" riemann="" sum="" by="" σία)="" δ="" i="1" (a)="" for="" each="" n,="" rn="" rdx,="" but="" what="" is="" the="" smallest="" value="" of="" n="" for="" which="" rn="" is="" within="" d?="" (hint:="" find="" a="" formula="" for="" rn="" in="" terms="" of="" n)="" 0.1="" of="" the="" exact="" value="" of="" (b)="" if="" a="" different="" choice="" for="" rin="" ri-1,="" x],="" for="" i="1,2," ...="" ,="" n="" is="" chosen="" to="" construct="" the="" riemann="" sum="" σ)δn="" i="1" idr,="" for="" a="" smaller="" value="" can="" the="" resulting="" sum="" be="" within="" 0.1="" of="" the="" exact="" value="" of="" of="" n="" than="" in="" part="" (a)?="" if="" so,="" give="" an="" example.="" if="" not,="" explain="">