Find the nth Maclaurin polynomial for the function. f(x) = e^{-x}, n=5

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Answered question

2021-09-21

Find the nth Maclaurin polynomial for the function. f(x)=ex,n=5

Answer & Explanation

Nathaniel Kramer

Nathaniel Kramer

Skilled2021-09-22Added 78 answers

Given Polynomial f(x)=ex
Then nth Maclaurin polynomial is
f(x)=f(0)+f(0)x+f(0)2!x2+f(0)3!x3+.+fn(0)n!xn
Then
f(0)=e0=1
f(0)=1e0=1
f(0)=e0=1
f(0)=e0=1
f(0)=e0=1
f(0)=1e0=
Therefore Maclaurin polynomial for n=5 is
f(x)=1±x+12!x213!x3+14!x415!x5
Result: f(x)=1±x+12!x213!x3+14!x415!x5

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