Consider the following convergent series. Complete parts a through d below. ii '7 7 k=1 5k a:::} u. uuu u... \"nub...\" ms \"nu u... ulraravl \"we...\" .v. mu. IUIIII'IIIIHUI u. mun-nu u. n. 7 son6 The upper bound for the remainder is b. Find how many terms are needed to ensure that the remainder is less than 10 _ 3. The minimum number of terms needed is 3. (Round up to the nearest whole number. Use the answerfrom part a to answer this part.) c. Use an integral to find lower and upper bounds (Ln and Un respectively) on the exact value ofthe series. 7 7 L=sn+ mmun=sn+ 6 3001+1) 30n (Type expressions using n as the variable.) d. Find an interval in which the value of the series must lie if you approximate it using ten terms of the series. Using ten terms of the series. the value lies in the interval |:|. (Do not round until the final answer. Then round to nine decimal places as needed. Use the answer from part c to answer this part.)