provide what option is the answer Find the Taylor polynomials of orders n 0,1,2,3, and 4 about x = xo, and then find the nth Taylor polynomials, p.(x) for thefunction in sigma notation forfw) = e: x = In7Choose the correct answer.O po(x) = 7",Pi(x) = 7 [1+ a(x+ In7)]. p2(x) = 7" 1+ a(x + In7) +Pa+ In7)*2!ax + In7), a'(x+ In7)P3(x) = 7° 1+ a(x + In7) +213!P4(x) = 7° 1+ a(x+ In7) +«+ In7) a'x + In7), ax + In7)213!4!Pa(x) = 7"a*(x + In7k!k=0O po(x) = 7",P1(x) = 7°[1 + a(x- In7)], p2(x) = 7" | 1+ a(x – In7) +a°& – In7)²2!P3(x) = 7° 1+ a(x- In7) +a (x – In7)ax – In7)2!3!P4(x) = 7" 1+ a(x-In7) +a (x – In7)²a° (x – In7)d(x - In7)*2!3!4!7 a (x-In7)*ΣPn(x) =k!k=0 O Po(x) = a',P1(x) = a'[1 + a(x – In7)). p2(x) = a'a (x- In7)+ a(x – In7) +2!a² (x – In7) a (x – In7)3!P3(x) = a+ a(x – In7) +2!a(x- In7) a (x – In7) a (x- In7)4!P4(x) = a' 1+ a(x – In7) +%3D2!3!ak+7 (x- In7)Pa(x) =k!k=0O po(x) = 1,a (x- In7)P1(x) = 1+ a(x- In7), p2(x) = 1+ a(x – In7) +%3D2!a (x - In7) a (x – In7)P3 (x) = 1+ a(x- In7) +%3D2!3!x- In7) a'(x – In7)a x- In7)P4(x) = 1 + a(x – In7) +2!3!4!a(x-In7y*ΣP.(x) =k!k-0O po(x) = 7",P1(X) =7"[1+ ax), p2(x) = 7“ 1+P3(x) = 7"1+ ax ++.2!3!ax a'xP4(x) = 7" I+ ax +213!7 axP.(x) =k!

f(x)= e ax f0(ln 7)= 7a f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a f' ' (x) =ea x a2f' '(ln 7) = ea ln…

Answered: Find the Taylor polynomials of orders n…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 65E

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Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor polynomials, p.(x) for the function in sigma notation for fw) = e"; Xo = In7 Choose the correct answer. O po(x) = 7", Pi(x) = 7 [1 + a(x+ In7)], p2(x) = 7" | 1+ a(x + In7) + du+In7)*] 2!