1. B using ratio tes 2PRACTICE EXERCISES FOR $11.8, §11.9, AND §11.101. Find the radius of convergence and interval of convergence of the power series.1TD12"an= (x+3)ant) - (x+2) • 4²(n+1) ₂2 (1+1)an (ntl)(a)(b)(c)(d)M8 M8 IM8 IM8 IM1n2n(e) Σn=0n²222-1-1 (0*-n!(x+2)²²a=2lim | 01/2+1/1 = 1 m 2 (171) √x+2) = 1/2 -4x+2) =호 금1/2 - 1/x+²2) = 12x+1²1 1/2 x=2 x=1(3x - 1)"(x-3)"(n+1)"3n12n+1-xn-(x-1) 2n2. Find the Taylor series of the function f(x) at the point a.(a) f(x) = ²x, a=11(b) f(x) =1-x(c) f(x) = lnx,3. Find the Maclaurin series of the function f(x).a=2(x+2) ++^)(x+2ja (^+1)=2na=3

We are given the series and we are to find the radius of convergence R and interval of convergence for this series.The interval of convergence is Radius of convergence is R=

Answered: (0) Σ n=1 (-1)" τα ηλ -(3x - 1)"

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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11. Use the following formulas to find the weight of the wax = W and essential oils = E: Round everything to whole grams since that is what your scale can measure. W = 0.84G/1.10 E = G – W a. Determine the amount of wax and oils needed to make a candle where the water weight is 760 grams. Wax:____ grams Oils:_____ grams b. essential oils get about 28 grams to an ounce and are sold in bottles measured in fluid ounces. How many (whole) ounces of oil do you need to purchase? fluid ounces
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#6) You use 2,500 incandescent holiday lights to decorate your apartment in Huntington. When turned on, the combined power of those lights is 1200 Watts. The electricity cost around is 6.40 cents per kilo- Watt-hour. How much is the total cost of electricity for the lights if you operate the 2,500 incandescent holiday lights for 24 hours per days for 50 days? Report your answer with the proper number of sig figs and rounding. Show all conversions. Express answer to 3 sig figs. Report answer in dollars.
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