Approximate the function at the given value of x, using the Taylor polynomial of degree n = 4, centered at c = -2. (Round your answer to four decimal places.) 1 f(x) = == f(-1.9) = P₁ = =+ 1 4 = (x + 2) + √²/16 (x -(x + 2)² + ²(x + 2)³ + 5 (x + 2)4 64

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Approximate the function at the given value of x, using the Taylor polynomial of degree n = 4, centered at c = -2. (Round your answer to four decimal places.)
f(x) = 2/1/2/2
X²
f(-1.9) =
1
P₁ = ²/1 + ²/(x + 2) + (x + 2)² + ²(x + 2)³ +
3
16
4
5
-(x + 2)4
64
Transcribed Image Text:Approximate the function at the given value of x, using the Taylor polynomial of degree n = 4, centered at c = -2. (Round your answer to four decimal places.) f(x) = 2/1/2/2 X² f(-1.9) = 1 P₁ = ²/1 + ²/(x + 2) + (x + 2)² + ²(x + 2)³ + 3 16 4 5 -(x + 2)4 64
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