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!
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!
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
Related questions
Question
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 the
function in sigma notation for
fw) = e: x = In7
Choose 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) +
21
3!
P4(x) = 7° 1+ a(x+ In7) +
«+ In7) a'x + In7), ax + In7)
21
3!
4!
Pa(x) = 7"a*(x + In7
k!
k=0
O po(x) = 7",
P1(x) = 7°[1 + a(x- In7)], p2(x) = 7" | 1+ a(x – In7) +
a°& – In7)²
2!
P3(x) = 7° 1+ a(x- In7) +
a (x – In7)
ax – In7)
2!
3!
P4(x) = 7" 1+ a(x-In7) +
a (x – In7)²
a° (x – In7)
d(x - In7)*
2!
3!
4!
7 a (x-In7)*
Σ
Pn(x) =
k!
k=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdb3fe29-af80-44d6-a96f-594d08bf1608%2F343b8c14-dfcf-4625-8810-f87955c66ce9%2Fxeg9dha_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 the
function in sigma notation for
fw) = e: x = In7
Choose 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) +
21
3!
P4(x) = 7° 1+ a(x+ In7) +
«+ In7) a'x + In7), ax + In7)
21
3!
4!
Pa(x) = 7"a*(x + In7
k!
k=0
O po(x) = 7",
P1(x) = 7°[1 + a(x- In7)], p2(x) = 7" | 1+ a(x – In7) +
a°& – In7)²
2!
P3(x) = 7° 1+ a(x- In7) +
a (x – In7)
ax – In7)
2!
3!
P4(x) = 7" 1+ a(x-In7) +
a (x – In7)²
a° (x – In7)
d(x - In7)*
2!
3!
4!
7 a (x-In7)*
Σ
Pn(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) +
%3D
2!
3!
ak+7 (x- In7)
Pa(x) =
k!
k=0
O po(x) = 1,
a (x- In7)
P1(x) = 1+ a(x- In7), p2(x) = 1+ a(x – In7) +
%3D
2!
a (x - In7) a (x – In7)
P3 (x) = 1+ a(x- In7) +
%3D
2!
3!
x- In7) a'(x – In7)
a x- In7)
P4(x) = 1 + a(x – In7) +
2!
3!
4!
a(x-In7y*
Σ
P.(x) =
k!
k-0
O po(x) = 7",
P1(X) =7"[1+ ax), p2(x) = 7“ 1+
P3(x) = 7"1+ ax +
+.
2!
3!
ax a'x
P4(x) = 7" I+ ax +
21
3!
7 ax
P.(x) =
k!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdb3fe29-af80-44d6-a96f-594d08bf1608%2F343b8c14-dfcf-4625-8810-f87955c66ce9%2Fvheymd2_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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) +
%3D
2!
3!
ak+7 (x- In7)
Pa(x) =
k!
k=0
O po(x) = 1,
a (x- In7)
P1(x) = 1+ a(x- In7), p2(x) = 1+ a(x – In7) +
%3D
2!
a (x - In7) a (x – In7)
P3 (x) = 1+ a(x- In7) +
%3D
2!
3!
x- In7) a'(x – In7)
a x- In7)
P4(x) = 1 + a(x – In7) +
2!
3!
4!
a(x-In7y*
Σ
P.(x) =
k!
k-0
O po(x) = 7",
P1(X) =7"[1+ ax), p2(x) = 7“ 1+
P3(x) = 7"1+ ax +
+.
2!
3!
ax a'x
P4(x) = 7" I+ ax +
21
3!
7 ax
P.(x) =
k!
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage