Find the sum of the series1 +1

2

+1

4

+1

7

+1

8

+1

14

+1

16

+1

28

+?

where the terms are the reciprocals of the positive integers whose only prime factors are2s and7s.

consider the toilowing function. Rx) = xln(9x)i e = 1. n = 3. 0.5 s x 51.4 (a) Avnmximate rhy a TaYlnr nniynnmial with degree n at the number a. T300 = (In) Use Taylurs Inenuality t0 estimate the accuracy 0f the anumximatinn ttx) = 1mm when x lies in the given inteml. (Rmmd yeur answer to fmlr deu'mal places.) luau)! s (:2) check yDIlr result in part (b) by graphing IRn(x)|. y y . x (u .n 1 2 1.4 0.001 70.002 -0011: o 4.004 V ' 0.004 0,004 0.0m 0.00; 0.002 0.002 0.001 0.001 x x o 0.3 1.0 1,2 1.4 g 0.0 1.0 1,1 1.4 v New Help? i Find the sum of the series 1 l 1 1 \"i*?*7* a *' 15 where the terms are the reciprocal: ufllie posive integers Whose 0an Brim: lamrs ale 2: and 7s. +20+'"