(a) Find the nth Maclaurin polynomial forf(x) = c0 + c1x + c2x2 ++ cnxn(b) Find the nth

Chapter 9, Problem 26

(choose chapter or problem)

(a) Find the nth Maclaurin polynomial for

$f(x)=c_{0}+c_{1} x+c_{2} x^{2}+\cdots+c_{n} x^{n}$

(b) Find the nth Taylor polynomial about x = 1 for

$f(x)=c_{0}+c_{1}(x-1)+c_{2}(x-1)^{2}+\cdots+c_{n}(x-1)^{n}$

Equation Transcription:

$f(x)\ =\ {c}_{0}\ +\ {c}_{1}x\ +\ {c}_{2}{x}^{2}\ \ +\ \cdot{}\cdot{}\cdot{}\ +\ {c}_{n}{x}^{n}$

$f(x)\ =\ {c}_{0}\ +\ {c}_{1}(x\ -\ 1)\ +\ {c}_{2}({x}^{\ }\ -1{)}^{2}\ \ +\ \cdot{}\cdot{}\cdot{}\ +\ {c}_{n}({x}^{\ }\ -1{)}^{n}$

Text Transcription:

f(x) = c_0 + c_1x + c_2x^2 + cdot cdot cdot c_nx^n

f(x) = c_0 + c_1(x - 1) + c_2(x -1)^2 + cdot cdot cdot c_n(x -1)^n

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